Universität Bonn

Trimester Program: "The Arithmetic of the Langlands Program"


May 2 - August 18, 2023

Organizers: Frank Calegari, Ana Caraiani , Laurent Fargues, Peter Scholze

Description: The Langlands program aims to relate systems of polynomial equations with integer coefficients to automorphic forms, i.e. functions on symmetric spaces with a large number of discrete symmetries. The focus of the trimester will be on some manifestations of this program, including:

  • moduli spaces of shtukas
  • p-adic techniques in local Langlands and the relation to geometric Langlands
  • Shimura varieties and more general spaces in global Langlands

The program will include a introductory Summer School addressed to PhD students and postdocs and 2 major conferences:

  • Summer School on the Arithmetic of the Langlands Program (May 8-12, 2023) separate application process
  • Conference on Local Langlands and p-adic methods (June 12-16, 2023)
  • Conference on Global Langlands, Shimura varieties, and shtukas (August 7-11, 2023)

Participants

PERSON
AFFILIATION
PERIOD OF STAY
Samuele Anni Aix-Marseille Université 20.07.2023 – 30.07.2023
Rebecca Bellovin University of Glasgow 11.06.2023 – 18.08.2023
Alexander Bertoloni Meli University of Michigan 11.06.2023 – 01.07.2023
Guido Bosco Sorbonne Université
George Boxer Imperial College London 07.05.2023 – 12.05.2023
George Boxer Imperial College London 02.07.2023 – 21.07.2023
George Boxer Imperial College London 06.08.2023 – 12.08.2023
Christophe Breuil Département de Mathématiques Bâtiment 307 08.07.2023 – 15.07.2023
Alina Bucur UCSD 12.06.2023 – 18.08.2023
Jakob Burgi Universität Heidelberg 30.07.2023 – 18.08.2023
Francesco Calegari University of Chicago 09.07.2023 – 15.07.2023
Ana Caraiani Imperial College London 02.05.2023 – 18.08.2023
Charlotte Chan University of Michigan 11.06.2023 – 17.06.2023
Ryan Chen Massachusetts Institute of Technology 01.08.2023 – 18.08.2023
Kwangho Choiy Southern Illinois University 21.05.2023 – 03.06.2023
Kwangho Choiy Southern Illinois University 11.06.2023 – 17.06.2023
Kwangho Choiy Southern Illinois University 06.08.2023 – 12.08.2023
Pierre Colmez CNRS 14.05.2023 – 15.07.2023
Patrick Daniels University of Michigan, Ann Arbor 06.08.2023 – 12.08.2023
Jean-François Dat Sorbonne Université 05.06.2023 – 16.06.2023
Héctor Del Castillo Universidad de Santiago de Chile 02.05.2023 – 13.05.2023
Gabriel Dospinescu UMPA ENS LYON 15.05.2023 – 20.06.2023
Andrea Dotto University of Chicago 04.06.2023 – 18.08.2023
Laurent Fargues CNRS / Institut de mathématiques de Jussieu 02.05.2023 – 18.08.2023
Tony Feng Berkeley University 30.05.2023 – 15.08.2023
Jessica Fintzen Universität Bonn 02.05.2023 – 18.08.2023
Francesc Fite Universitat de Barcelona 24.07.2023 – 30.07.2023
Chenji Fu
Hao Fu Université de Strasbourg 03.05.2023 – 27.05.2023
Hui Gao Southern University of Science and Technology, 11.06.2023 – 08.07.2023
Quentin Gazda École Polytechnique - Centre de Mathématique Laurent Schwartz 09.07.2023 – 22.07.2023
Toby Gee Imperial College London 08.05.2023 – 12.05.2023
Toby Gee Imperial College London 03.07.2023 – 14.07.2023
Sally Gilles MPIM Bonn
Ian Gleason Universität Bonn
Daniel Gulotta MSRI / Boston University 11.06.2023 – 24.06.2023
Linus David Hamann Princeton University 01.06.2023 – 18.08.2023
Michael Harris Columbia University 07.06.2023 – 16.06.2023
Eugen Hellmann Universität Münster 15.05.2023 – 30.06.2023
Valentin Hernandez LMO, Orsay, Université Paris-Saclay 02.05.2023 – 01.07.2023
Bence Sandor Hevesi Universität Bonn
Sean Howe University of Utah 06.05.2023 – 15.07.2023
Sean Howe University of Utah 06.08.2023 – 14.08.2023
Naoki Imai Graduate School of Mathematical Sciences, The University of Tokyo 02.05.2023 – 17.06.2023
Naoki Imai Graduate School of Mathematical Sciences, The University of Tokyo 06.08.2023 – 12.08.2023
Louis Jaburi Universität Bonn
Tasho Kaletha University of Michigan 27.05.2023 – 28.06.2023
Tasho Kaletha University of Michigan 27.07.2023 – 18.08.2023
Kalyani Kansal Johns Hopkins University 03.05.2023 – 30.06.2023
Kiran Kedlaya University of California San Diego 02.06.2023 – 19.08.2023
Youshua Kesting Universität Bonn
Chandrashekhar Khare UCLA 06.08.2023 – 13.08.2023
Dongryul Kim Stanford University 02.05.2023 – 13.05.2023
Mark Kisin Harvard University 05.08.2023 – 12.08.2023
Teruhisa Koshikawa Research Institute for Mathematical Sciences, Kyoto University 02.05.2023 – 08.07.2023
Teruhisa Koshikawa Research Institute for Mathematical Sciences, Kyoto University 01.08.2023 – 18.08.2023
Kai-Wen Lan University of Minnesota, Twin Cities 11.06.2023 – 21.06.2023
Kai-Wen Lan University of Minnesota, Twin Cities 04.08.2023 – 17.08.2023
Arthur-César Le Bras CNRS 07.05.2023 – 18.08.2023
Bao Le Hung Northwestern University 11.06.2023 – 29.07.2023
Daniel Le Purdue University 11.06.2023 – 14.07.2023
Heejong Lee University of Toronto 02.05.2023 – 13.05.2023
Siyan Li-Huerta Harvard University 31.05.2023 – 22.06.2023
Chen-wei (Milton) Lin Johns Hopkins University 06.05.2023 – 13.05.2023
Zeyu Liu University of California San Diego 02.05.2023 – 17.06.2023
Judith Ludwig Universität Heidelberg 07.05.2023 – 12.05.2023
Yi Luo National University of Singapore 06.08.2023 – 12.08.2023
Akhil Mathew University of Chicago 18.06.2023 – 08.07.2023
Vaughan McDonald Stanford University 07.05.2023 – 20.05.2023
Yoichi Mieda The University of Tokyo 23.07.2023 – 18.08.2023
Yutaro Mikami The university of Tokyo 07.05.2023 – 13.05.2023
Yutaro Mikami The university of Tokyo 23.07.2023 – 18.08.2023
Sophie Morel ENS de Lyon 02.05.2023 – 14.06.2023
Sophie Morel ENS de Lyon 06.08.2023 – 12.08.2023
Stefano Morra Laboratoire d'Analyse, Géométrie, Algèbre 11.06.2023 – 24.06.2023
Stefano Morra Laboratoire d'Analyse, Géométrie, Algèbre 02.07.2023 – 15.07.2023
James Newton University of Oxford 07.05.2023 – 12.05.2023
James Newton University of Oxford 23.07.2023 – 18.08.2023
Tuan Ngo Dac University of Caen Normandy 23.07.2023 – 18.08.2023
Kieu Hieu Nguyen WWU Münster 24.07.2023 – 28.07.2023
Wieslawa Niziol CNRS/Sorbonne Univiversité 14.05.2023 – 15.07.2023
Kazuma Ohara University of Tokyo
Luis Santiago Palacios Universidad de Santiago de Chile 02.05.2023 – 13.05.2023
Lue Pan Princeton University 07.05.2023 – 13.05.2023
Chol Park Ulsan National Institute of Science and Technology 10.06.2023 – 16.06.2023
Vytautas Paskunas Universität Duisburg-Essen 02.05.2023 – 25.06.2023
Vytautas Paskunas Universität Duisburg-Essen 01.07.2023 – 16.07.2023
Vytautas Paskunas Universität Duisburg-Essen 04.08.2023 – 18.08.2023
Hao Peng Massachusetts Institute of Technology 02.05.2023 – 13.05.2023
Alexander Petrov MPIM Bonn
Vincent Pilloni Université Paris Saclay 07.05.2023 – 12.05.2023
Vincent Pilloni Université Paris Saclay 02.07.2023 – 21.07.2023
Vincent Pilloni Université Paris Saclay 06.08.2023 – 11.08.2023
Catherine Ray Northwestern University 03.05.2023 – 12.05.2023
Joaquin Rodrigues Jacinto Université Paris-Saclay 12.06.2023 – 16.06.2023
Juan Esteban Rodríguez Camargo MPIM Bonn
Soumyadip Sahu Tata Institute of Fundamental Research 02.05.2023 – 27.05.2023
David Savitt Johns Hopkins University 11.06.2023 – 01.07.2023
David Savitt Johns Hopkins University 16.07.2023 – 22.07.2023
David Savitt Johns Hopkins University 30.07.2023 – 14.08.2023
Peter Scholze Max-Planck-Institut für Mathematik 02.05.2023 – 18.08.2023
Benjamin Schraen Université Paris Saclay 01.05.2023 – 01.07.2023
David Schwein Universität Bonn
Sug Woo Shin UC Berkeley 23.07.2023 – 18.08.2023
Maarten Solleveld Radboud Universiteit 18.06.2023 – 23.06.2023
Reinier Sorgdrager Université Paris-Saclay 02.05.2023 – 27.05.2023
Matthias Strauch Indiana University 03.05.2023 – 01.06.2023
Matthias Strauch Indiana University 06.08.2023 – 18.08.2023
Benoit Stroh Sorbonne Université 24.07.2023 – 28.07.2023
Longke Tang Princeton University 02.05.2023 – 18.08.2023
Yichao Tian Morningside Center of Mathematics 30.07.2023 – 11.08.2023
Thibaud van den Hove TU Darmstadt 02.05.2023 – 27.05.2023
Yakov Varshavsky The Hebrew University of Jerusalem 19.07.2023 – 18.08.2023
Eva Viehmann Universität Münster 08.05.2023 – 11.05.2023
Eva Viehmann Universität Münster 05.06.2023 – 08.06.2023
Eva Viehmann Universität Münster 13.06.2023 – 16.06.2023
Eva Viehmann Universität Münster 03.07.2023 – 06.07.2023
Yingying Wang Universität Duisburg-Essen 02.05.2023 – 17.06.2023
Zhixiang Wu University of Münster 02.05.2023 – 27.05.2023
Zijian Yao University of Chicago 15.05.2023 – 15.08.2023
Alexander Youcis Graduate School of Mathematical Sciences, The University of Tokyo 10.06.2023 – 12.08.2023
Jize Yu The Chinese University of Hong Kong 02.05.2023 – 18.08.2023
Sarah Zerbes ETH Zürich 06.08.2023 – 12.08.2023
Yuting Samanda Zhang The University of Chicago 07.05.2023 – 27.05.2023
Robin Zhang Columbia University 20.07.2023 – 18.08.2023
Xinwen Zhu Stanford University 07.05.2023 – 13.05.2023
Xinwen Zhu Stanford University 06.08.2023 – 12.08.2023
Yihang Zhu University of Maryland College Park 30.07.2023 – 12.08.2023
Noam Zimhoni Hebrew University of Jerusalem, Israel 02.05.2023 – 27.05.2023
Konrad Zou Universität Bonn
PERSON
AFFILIATION
PERIOD OF STAY
Patrick Allen McGill University 07.05.2023 – 13.05.2023
Simon Alonso Ecole Normale Supérieure de Lyon 07.05.2023 – 13.05.2023
Jonas Antor University of Oxford 07.05.2023 – 13.05.2023
Ansuman Bardalai UC Berkeley 07.05.2023 – 13.05.2023
Paul Boisseau Aix Marseille University 07.05.2023 – 13.05.2023
George Boxer Imperial College London 07.05.2023 – 12.05.2023
Francesco Calegari University of Chicago
Ana Caraiani Imperial College London 02.05.2023 – 18.08.2023
Qiyuan Chen École Normale Supérieure 07.05.2023 – 13.05.2023
Juliette Coutens Aix Marseille Université 07.05.2023 – 13.05.2023
Joao Rafael de Melo Ruiz Sorbonne Université (Jussieu/Pierre et Marie Curie/Paris VI) 07.05.2023 – 13.05.2023
Héctor Del Castillo Universidad de Santiago de Chile 02.05.2023 – 13.05.2023
Haocheng Fan Peking University 07.05.2023 – 13.05.2023
Laurent Fargues CNRS / Institut de mathématiques de Jussieu 02.05.2023 – 18.08.2023
Zhechen Feng University of Oxford 07.05.2023 – 13.05.2023
Jessica Fintzen Universität Bonn 02.05.2023 – 18.08.2023
Hao Fu Université de Strasbourg 03.05.2023 – 27.05.2023
Paulina Fust Universität Duisburg-Essen 07.05.2023 – 13.05.2023
Joakim Færgeman University of Texas at Austin 07.05.2023 – 13.05.2023
Toby Gee Imperial College London 08.05.2023 – 12.05.2023
Valentin Hernandez LMO, Orsay, Université Paris-Saclay 02.05.2023 – 01.07.2023
Sean Howe University of Utah 06.05.2023 – 15.07.2023
Naoki Imai Graduate School of Mathematical Sciences, The University of Tokyo 02.05.2023 – 17.06.2023
Yuanyang Jiang Université Paris-Saclay 07.05.2023 – 13.05.2023
Kalyani Kansal Johns Hopkins University 03.05.2023 – 30.06.2023
Dongryul Kim Stanford University 02.05.2023 – 13.05.2023
Teruhisa Koshikawa Research Institute for Mathematical Sciences, Kyoto University 02.05.2023 – 08.07.2023
Arthur-César Le Bras CNRS 07.05.2023 – 18.08.2023
Heejong Lee University of Toronto 02.05.2023 – 13.05.2023
Zhenghui Li Sorbonne University 07.05.2023 – 13.05.2023
Chen-wei (Milton) Lin Johns Hopkins University 06.05.2023 – 13.05.2023
Zeyu Liu University of California San Diego 02.05.2023 – 17.06.2023
Judith Ludwig Universität Heidelberg 07.05.2023 – 12.05.2023
Thomas Manopulo Universität Bonn
Nataniel Marquis Sorbonne Université 07.05.2023 – 13.05.2023
Vaughan McDonald Stanford University 07.05.2023 – 20.05.2023
Yutaro Mikami The university of Tokyo 07.05.2023 – 13.05.2023
Yu Min Imperial College London 07.05.2023 – 13.05.2023
Sophie Morel ENS de Lyon 02.05.2023 – 14.06.2023
James Newton University of Oxford 07.05.2023 – 12.05.2023
Luis Santiago Palacios Universidad de Santiago de Chile 02.05.2023 – 13.05.2023
Lue Pan Princeton University 07.05.2023 – 13.05.2023
Vytautas Paskunas Universität Duisburg-Essen 02.05.2023 – 25.06.2023
Maria Rosaria Pati University of Caen 07.05.2023 – 13.05.2023
Alan Peng University of California, Berkeley 07.05.2023 – 13.05.2023
Hao Peng Massachusetts Institute of Technology 02.05.2023 – 13.05.2023
Guillaume Pignon-Ywanne ENS (Ecole Normale Supérieure) Ulm 07.05.2023 – 13.05.2023
Vincent Pilloni Université Paris Saclay 07.05.2023 – 12.05.2023
Julian Quast Universität Heidelberg 07.05.2023 – 13.05.2023
Catherine Ray Northwestern University 03.05.2023 – 12.05.2023
Soumyadip Sahu Tata Institute of Fundamental Research 02.05.2023 – 27.05.2023
Peter Scholze Max-Planck-Institut für Mathematik 02.05.2023 – 18.08.2023
Benjamin Schraen Université Paris Saclay 01.05.2023 – 01.07.2023
Reinier Sorgdrager Université Paris-Saclay 02.05.2023 – 27.05.2023
Hind Souly Universität Duisburg-Essen 07.05.2023 – 13.05.2023
Vijay Srinivasan Massachusetts Institute of Technology 07.05.2023 – 13.05.2023
Matthias Strauch Indiana University 03.05.2023 – 01.06.2023
Longke Tang Princeton University 02.05.2023 – 18.08.2023
Thibaud van den Hove TU Darmstadt 02.05.2023 – 27.05.2023
Eva Viehmann Universität Münster 08.05.2023 – 11.05.2023
Yingying Wang Universität Duisburg-Essen 02.05.2023 – 17.06.2023
Finn Wiersig University of Oxford 07.05.2023 – 13.05.2023
Junho Won Northwestern University 07.05.2023 – 13.05.2023
Zhixiang Wu University of Münster 02.05.2023 – 27.05.2023
Cong Xue IMJ-PRG 07.05.2023 – 09.05.2023
Siqi Yang Imperial College London 07.05.2023 – 13.05.2023
Xiangqian Yang Peking University 07.05.2023 – 13.05.2023
Jize Yu The Chinese University of Hong Kong 02.05.2023 – 18.08.2023
Yuting Samanda Zhang The University of Chicago 07.05.2023 – 27.05.2023
Xinwen Zhu Stanford University 07.05.2023 – 13.05.2023
Noam Zimhoni Hebrew University of Jerusalem, Israel 02.05.2023 – 27.05.2023
PERSON
AFFILIATION
PERIOD OF STAY
Philip Barron Bar-Ilan University 11.06.2023 – 17.06.2023
Rebecca Bellovin University of Glasgow 11.06.2023 – 18.08.2023
Alexander Bertoloni Meli University of Michigan 11.06.2023 – 01.07.2023
Alina Bucur UCSD 12.06.2023 – 18.08.2023
Francesco Calegari University of Chicago
Ana Caraiani Imperial College London 02.05.2023 – 18.08.2023
Charlotte Chan University of Michigan 11.06.2023 – 17.06.2023
Kwangho Choiy Southern Illinois University 11.06.2023 – 17.06.2023
Pierre Colmez CNRS 14.05.2023 – 15.07.2023
Jean-François Dat Sorbonne Université 05.06.2023 – 16.06.2023
Gabriel Dospinescu UMPA ENS LYON 15.05.2023 – 20.06.2023
Andrea Dotto University of Chicago 04.06.2023 – 18.08.2023
Laurent Fargues CNRS / Institut de mathématiques de Jussieu 02.05.2023 – 18.08.2023
Tony Feng Berkeley University 30.05.2023 – 15.08.2023
Jessica Fintzen Universität Bonn 02.05.2023 – 18.08.2023
Hui Gao Southern University of Science and Technology, 11.06.2023 – 08.07.2023
Ian Gleason Universität Bonn
Daniel Gulotta MSRI / Boston University 11.06.2023 – 24.06.2023
Linus David Hamann Princeton University 01.06.2023 – 18.08.2023
David Hansen National University of Singapore 11.06.2023 – 17.06.2023
Michael Harris Columbia University 07.06.2023 – 16.06.2023
Volker Heiermann Aix-Marseille University 12.06.2023 – 17.06.2023
Eugen Hellmann Universität Münster 15.05.2023 – 30.06.2023
David Helm Imperial College London 11.06.2023 – 17.06.2023
Valentin Hernandez LMO, Orsay, Université Paris-Saclay 02.05.2023 – 01.07.2023
Sean Howe University of Utah 06.05.2023 – 15.07.2023
Naoki Imai Graduate School of Mathematical Sciences, The University of Tokyo 02.05.2023 – 17.06.2023
Alexander Ivanov Ruhr-Universität Bochum
Ashwin Iyengar Johns Hopkins University 11.06.2023 – 17.06.2023
Tasho Kaletha University of Michigan 27.05.2023 – 28.06.2023
Kalyani Kansal Johns Hopkins University 03.05.2023 – 30.06.2023
Kiran Kedlaya University of California San Diego 02.06.2023 – 19.08.2023
Teruhisa Koshikawa Research Institute for Mathematical Sciences, Kyoto University 02.05.2023 – 08.07.2023
Robert Kurinczuk University of Sheffield 11.06.2023 – 17.06.2023
Kai-Wen Lan University of Minnesota, Twin Cities 11.06.2023 – 21.06.2023
Arthur-César Le Bras CNRS 07.05.2023 – 18.08.2023
Bao Le Hung Northwestern University 11.06.2023 – 29.07.2023
Daniel Le Purdue University 11.06.2023 – 14.07.2023
Brandon Levin Rice University 12.06.2023 – 16.06.2023
Siyan Li-Huerta Harvard University 31.05.2023 – 22.06.2023
Zeyu Liu University of California San Diego 02.05.2023 – 17.06.2023
Lucas Mann Universität Münster 11.06.2023 – 16.06.2023
Jeffrey Manning Imperial College London 11.06.2023 – 17.06.2023
Yong Suk Moon Beijing Institute of Mathematical Sciences and Applications 11.06.2023 – 17.06.2023
Sophie Morel ENS de Lyon 02.05.2023 – 14.06.2023
Stefano Morra Laboratoire d'Analyse, Géométrie, Algèbre 11.06.2023 – 24.06.2023
Marc-Hubert Nicole Université de Caen Normandie
Wieslawa Niziol CNRS/Sorbonne Univiversité 14.05.2023 – 15.07.2023
Chol Park Ulsan National Institute of Science and Technology 10.06.2023 – 16.06.2023
Vytautas Paskunas Universität Duisburg-Essen 02.05.2023 – 25.06.2023
João Nuno Pereira Lourenço Westfälische Wilhelms-Universität Münster 12.06.2023 – 16.06.2023
Joaquin Rodrigues Jacinto Université Paris-Saclay 12.06.2023 – 16.06.2023
Juan Esteban Rodríguez Camargo MPIM Bonn
David Savitt Johns Hopkins University 11.06.2023 – 01.07.2023
Peter Scholze Max-Planck-Institut für Mathematik 02.05.2023 – 18.08.2023
Benjamin Schraen Université Paris Saclay 01.05.2023 – 01.07.2023
Longke Tang Princeton University 02.05.2023 – 18.08.2023
Eva Viehmann Universität Münster 13.06.2023 – 16.06.2023
Marie-France Vigneras Université de Paris 10.06.2023 – 16.06.2023
Yingying Wang Universität Duisburg-Essen 02.05.2023 – 17.06.2023
Jared Weinstein Boston University
Xiangqian Yang Peking University 11.06.2023 – 17.06.2023
Zijian Yao University of Chicago 15.05.2023 – 15.08.2023
Seidai Yasuda Department of Mathematics, Hokkaido University 11.06.2023 – 17.06.2023
Alexander Youcis Graduate School of Mathematical Sciences, The University of Tokyo 10.06.2023 – 12.08.2023
Jize Yu The Chinese University of Hong Kong 02.05.2023 – 18.08.2023
Daming Zhou Peking University 11.06.2023 – 17.06.2023
PERSON
AFFILIATION
PERIOD OF STAY
Lambert A'Campo University of Oxford 06.08.2023 – 12.08.2023
Rebecca Bellovin University of Glasgow 11.06.2023 – 18.08.2023
George Boxer Imperial College London 06.08.2023 – 12.08.2023
Alina Bucur UCSD 12.06.2023 – 18.08.2023
Jakob Burgi Universität Heidelberg 30.07.2023 – 18.08.2023
Francesco Calegari University of Chicago
Ana Caraiani Imperial College London 02.05.2023 – 18.08.2023
Ryan Chen Massachusetts Institute of Technology 01.08.2023 – 18.08.2023
Kwangho Choiy Southern Illinois University 06.08.2023 – 12.08.2023
Patrick Daniels University of Michigan, Ann Arbor 06.08.2023 – 12.08.2023
Samit Dasgupta Duke University 06.08.2023 – 11.08.2023
Andrea Dotto University of Chicago 04.06.2023 – 18.08.2023
Matthew Emerton University of Chicago 07.08.2023 – 12.08.2023
Laurent Fargues CNRS / Institut de mathématiques de Jussieu 02.05.2023 – 18.08.2023
Tony Feng Berkeley University 30.05.2023 – 15.08.2023
Jessica Fintzen Universität Bonn 02.05.2023 – 18.08.2023
Dennis Gaitsgory MPIM Bonn
Linus David Hamann Princeton University 01.06.2023 – 18.08.2023
Volker Heiermann Aix-Marseille University 06.08.2023 – 12.08.2023
Sean Howe University of Utah 06.08.2023 – 14.08.2023
Naoki Imai Graduate School of Mathematical Sciences, The University of Tokyo 06.08.2023 – 12.08.2023
Alexander Ivanov Ruhr-Universität Bochum
Srikanth Iyengar University of Utah 06.08.2023 – 12.08.2023
Tasho Kaletha University of Michigan 27.07.2023 – 18.08.2023
Kiran Kedlaya University of California San Diego 02.06.2023 – 19.08.2023
Chandrashekhar Khare UCLA 06.08.2023 – 13.08.2023
Mark Kisin Harvard University 05.08.2023 – 12.08.2023
Teruhisa Koshikawa Research Institute for Mathematical Sciences, Kyoto University 01.08.2023 – 18.08.2023
Vincent Lafforgue CNRS and Universite Paris Cite 06.08.2023 – 12.08.2023
Kai-Wen Lan University of Minnesota, Twin Cities 04.08.2023 – 17.08.2023
Arthur-César Le Bras CNRS 07.05.2023 – 18.08.2023
Si Ying Lee MPIM Bonn
Yifeng Liu Zhejiang University 06.08.2023 – 12.08.2023
David Loeffler Warwick University
Yi Luo National University of Singapore 06.08.2023 – 12.08.2023
Jeffrey Manning Imperial College London 06.08.2023 – 12.08.2023
Yoichi Mieda The University of Tokyo 23.07.2023 – 18.08.2023
Yutaro Mikami The university of Tokyo 23.07.2023 – 18.08.2023
Sophie Morel ENS de Lyon 06.08.2023 – 12.08.2023
James Newton University of Oxford 23.07.2023 – 18.08.2023
Tuan Ngo Dac University of Caen Normandy 23.07.2023 – 18.08.2023
Marc-Hubert Nicole Université de Caen Normandie
Vytautas Paskunas Universität Duisburg-Essen 04.08.2023 – 18.08.2023
Vincent Pilloni Université Paris Saclay 06.08.2023 – 11.08.2023
Alice Pozzi Imperial College London 06.08.2023 – 12.08.2023
Sam Raskin University of Texas at Austin 07.08.2023 – 12.08.2023
David Savitt Johns Hopkins University 30.07.2023 – 14.08.2023
Peter Scholze Max-Planck-Institut für Mathematik 02.05.2023 – 18.08.2023
Sug Woo Shin UC Berkeley 23.07.2023 – 18.08.2023
Shin Eui Song University of Maryland, College Park 06.08.2023 – 11.08.2023
Matthias Strauch Indiana University 06.08.2023 – 18.08.2023
Longke Tang Princeton University 02.05.2023 – 18.08.2023
Yichao Tian Morningside Center of Mathematics 30.07.2023 – 11.08.2023
Pol van Hoften Stanford University 07.08.2023 – 12.08.2023
Yakov Varshavsky The Hebrew University of Jerusalem 19.07.2023 – 18.08.2023
Cong Xue IMJ-PRG 06.08.2023 – 12.08.2023
Xiangqian Yang Peking University 06.08.2023 – 12.08.2023
Zijian Yao University of Chicago 15.05.2023 – 15.08.2023
Alexander Youcis Graduate School of Mathematical Sciences, The University of Tokyo 10.06.2023 – 12.08.2023
Jize Yu The Chinese University of Hong Kong 02.05.2023 – 18.08.2023
Sarah Zerbes ETH Zürich 06.08.2023 – 12.08.2023
Robin Zhang Columbia University 20.07.2023 – 18.08.2023
Rong Zhou University of Cambridge 06.08.2023 – 12.08.2023
Xinwen Zhu Stanford University 06.08.2023 – 12.08.2023
Yihang Zhu University of Maryland College Park 30.07.2023 – 12.08.2023

Trimester Seminar Series

May 4, 2023 (CEST)

3:00 - 4:00pm  Heejong Lee (University of Toronto)

Title:  Emerton-Gee stacks for GSp4 and Serre weight conjectures

Abstract: In the Langlands program, we want to construct a certain correspondence between automorphic representations and Galois representations. The meaning of this correspondence can be explained in terms of the L-functions. However, one can also ask how the structure of one side is reflected on the other side. Serre weight conjectures explicitly explain that how (Serre) weights of the automorphic side and the ramification behavior on the Galois side are related.
I will start my talk by giving some examples and heuristic arguments for the Serre weight conjectures. This will motivate us to understand certain Galois deformation rings. Then I will discuss Emerton-Gee stacks (which allows a more geometric approach to Galois representations) and local models of Le-Le Hung-Levin-Morra (which can describe parts of Emerton-Gee stacks explicitly), as well as their generalizations to the group GSp4.

May 18, 2023 (CEST)

3:00 - 4:00pm  Kazuma Ohara (University of Tokyo)

Title: Types for Bernstein blocks and their Hecke algebras

Abstract: Let G be a connected reductive group defined over a non-archimedean local field F. The category R(G) of smooth complex representations of G(F) decomposes into the product of full subcategories  Rˢ(G), called Bernstein blocks. In many cases, a block Rˢ(G) is equivalent to the category of modules over a C-algebra. More precisely, if there is a good pair (K, p) of a compact open subgroup K of G(F) and its irreducible smooth representation p, called an s-type, the block  Rˢ(G) is equivalent to the category of modules over the Hecke algebra H(G, p) associated with the type (K, p).

In this talk, I will introduce several kinds of types; depth-zero types, tame
supercuspidal types, and Kim-Yu types. After that, I will explain the structure of the
Hecke algebras associated with these types. In particular, I will explain the following:
・The Hecke algebra associated with a depth-zero type is isomorphic to an extension of an
Iwahori-Hecke algebra by a twisted group algebra.
・For more general type, we can construct an isomorphism between its Hecke algebra and the
Hecke algebra associated with some depth-zero type.

This talk contains a joint work with Jeffrey Adler, Jessica Fintzen, and Manish Mishra.

May 25, 2023 (CEST)

3:00 - 4:00pm Longke Tang (Princeton University)

Title: The P^1-motivic cycle map

Abstract Recently, Annala, Hoyois, and Iwasa have defined and studied  the P^1-motivic homotopy theory, a generalization of A^1-motivic homotopy that does not require A^1 to be contractible, but only requires pointed P^1 to be invertible. This makes it applicable to cohomology theories where the reduced cohomology of A^1 is nontrivial but that of P^1 is invertible, e.g. Hodge cohomology, de Rham  cohomology, and prismatic cohomology. I will recall some basic facts in P^1-motivic homotopy theory, and construct the P^1-motivic cycle map, thus giving a uniform construction for the cycle maps of the above cohomology theories. If time permits, I will also use this cycle map to prove prismatic Poincaré duality.

June 1, 2023 (CEST)

3:00 - 4:00pm Jize Yu (Chinese University of Hong Kong)

Title: Gaitsgory's central functor and Arkhipov-Bezrukavnikov's equivalence for p-adic groups

Abstract: In 2002, Arkhipov and Bezrukavnikov established an equivalence between the Iwahori-equivariant derived category of constructible \ell-adic sheaves and the Langlands dual group equivariant derived category of coherent sheaves on the Langlands dual Springer resolution for a connected reductive group over \bar{\mathbb{F}}_p. In this talk, we discuss this equivalence for p-adic groups by constructing a mixed-characteristic Gaitsgory's central functor. This is a joint work with J. Ansch\"utz, J. Louren\c{c}o, and Z. Wu.

June 8, 2023 (CEST)

3:00 - 4:00pm Daniel Li-Huerta (Harvard)

Title: Local-global compability over funtion fields

Abstract: We present a proof that V. Lafforgue's global Langlands correspondence is compatible with Fargues–Scholze's semisimplified local Langlands correspondence. By globalizing representations, this has the following local consequences:

  • Fargues–Scholze's construction canonically lifts to a non-semisimplified  correspondence in characteristic ≥ 5,
  • Genestier–Lafforgue's correspondence agrees with Fargues–Scholze's.

The proof relies on a formal model for the moduli of local shtukas with multiple legs.

June 22, 2023 (CEST)

1:30 - 2:30pm Valentin Hernandez

Title: On classicality of p-adic modular forms

Abstract: p-adic modular forms are an essential object of study in arithmetic geometry, but it is also important to know when a p-adic modular form is actually a classical modular forms.

For GL_2, on the Eigencurve, theorems of Coleman and Kisin assures that a p-adic form is classical if its weight is positive, and the slope is small or if the Galois representation crystalline. The Fontaine-Mazur conjecture assures that if the Galois representation of a p-adic modular form is crystalline at p, it should be associated to a classical modular form, but possibly a different one. Already for GL_2 examples proves that crystalline p-adic modular forms need not to be classical if their weight is not « classical » or if they are not Hecke eigenvector at p. We could expect that a p-adic modular form which is an Eigenvector for all Hecke operators, of classical weight, and crystalline at p is classical. We show that this is not necessarily the case already for GL_3. This is a joint work with Eugen Hellmann and Benjamin Schraen.

3:00 - 4:00pm Eugen Hellmann

Title: Explicit examples of categorical local Langlands

Abstract: Categorical local Langlands aims to establish a relation between the derived category of smooth representations  of a p-adic reductive group and the derived category of coherent sheaves on the stack of corresponding L-parameters. In this talk we will discuss some examples, mainly in the case of the groups GL_2 and SL_2, where one can construct an explicit fully faithful functor between these categories. In these cases we will explicitly compute the (complexes of) sheaves associated to certain smooth representations and discuss how parabolic induction, the decomposition into Bernstein blocks and the Langlands classification of irreducible representations fits into this picture.

June 29, 2023 (CEST)

1:30 - 2:30pm Kalyani Kansal

Title: Non-regular loci in the Emerton-Gee stack for GL2

Abstract: Let K be a finite extension of Qp. The Emerton-Gee stack for GL2 is a stack of etale (phi, Gamma)-modules of rank two. Its reduced part, X, is an algebraic stack of finite type over a finite field, and can be viewed as a moduli stack of two dimensional mod p representations of the absolute Galois group of K. By the work of Caraiani, Emerton, Gee and Savitt, it is known that except for Steinberg components, the loci of mod p representations admitting crystalline lifts with small, regular Hodge-Tate weights are precisely the irreducible components of X. Their work relied on a detailed study of a closely related stack of etale phi-modules which admits a map from a stack of Breuil-Kisin modules with descent data. In our work, we assume K is unramfied and further study this map with a view to studying the loci of mod p representations admitting crystalline lifts with small, non-regular Hodge-Tate weights. We identify these loci as images of certain irreducible components of the stack of Breuil-Kisin modules and produce a "shape-shifting" algorithm to obtain several inclusions of the non-regular loci into the irreducible components of X. This is joint work in progress with Rebecca Bellovin, Neelima Borade, Anton Hilado, Heejong Lee, Brandon Levin, David Savitt and Hanneke Wiersema.

3:00 - 4:00pm Thibaud van den Hove

Title: The integral motivic Satake equivalence

Abstract: For a reductive group G over a field k, geometric Satake gives an equivalence between the category of equivariant perverse sheaves on the affine Grassmannian of G and the category of representations of the Langlands dual group of G. Depending on the field k, one can use different cohomology theories, such as Betti cohomology, étale cohomology, (arithmetic) D-modules, ... On the other hand, the representation category of the Langlands dual group remains the same, depending only on the coefficients of the cohomology theory. In this talk, I will explain how to construct a version of the Satake equivalence using a universal cohomology theory, i.e., motivically, and with integral coefficients. This generalizes and unifies many previously known instances of geometric Satake. This is joint work with Robert Cass and Jakob Scholbach.

July 6, 2023 (CEST)

1:30 - 2:30pm Sean Howe

Title: Differential topology for diamonds

Abstract:  In this talk, I will construct explicit Banach-Colmez tangent spaces for many diamonds that arise naturally in the study of smooth rigid analytic varieties and their cohomology. In an ideal world, these tangent spaces would be defined in terms of some theory of analytic structures on diamonds, but I do not have any such theory to propose! Nevertheless, starting from first principles, I will explain* why the tangent spaces constructed must be the correct ones if any such theory exists. Once we have the tangent spaces, it is natural to make some conjectures in the spirit of differential topology describing underlying properties of the diamond in terms of this extra differential data: in particular, we will formulate some conjectures of this nature describing preperfectoid loci and cohomological smoothness of morphisms. Along the way we will give explicit examples and computations of tangent spaces and derivatives in this context and compare our conjectures with known results and other related work.
* This explanation will inevitably involve a short but compelling technical jaunt through geometric Sen theory and the p-adic Simpson and Riemann-Hilbert correspondence targeted at actual or hypothetical experts who may or may not be in the room.  You may or may not find this jaunt independently interesting, but you are hereby and henceforth expressly permitted to blackbox everything or even just ignore it completely.

3:00 - 4:00pm Sally Gilles

Title: On compactly supported p-adic proétale cohomology of analytic varieties.

Abstract: I will define the p-adic proétale cohomology with compact support for analytic varieties and present some properties that it satisfies. In particular, I will discuss comparison theorems between the (compactly supported versions of) proétale and de Rham cohomologies.This is a joint work with Piotr Achinger and Wieslawa Niziol.

July 13, 2023 (CEST)

3:00 - 4:00pm Alexander Petrov

Title: On de Rham cohomology in positive characteristic

Abstract: Deligne and Illusie established an analog of Hodge decomposition in positive characteristic: for a smooth proper variety X over F_p equipped with a lift over Z/p^2, there is a natural isomorphism between de Rham and Hodge cohomology, provided that the dimension of X is at most p. It turns out that the analogous isomorphism might fail for liftable varieties of dimension larger than p (that is, the de Rham cohomology might have smaller dimension than Hodge cohomology). This failure can be seen as coming from the non-vanishing of the cohomology of reductive groups in positive characteristics combined with the different behaviour of Steenrod operations on de Rham and Hodge cohomology. I will also discuss some structures that are nonetheless always present on the de Rham complex of variety over F_p, such as the Sen operator of Drinfeld and Bhatt-Lurie in the presence of a lift over Z/p^2, and the canonical decomposition after the Frobenius pullback.

July 20, 2023 (CEST)

1:30 - 2:30pm Quentin Gazda

Title: Motivic cohomology of Carlitz twists and its relation to zeta values and polylogarithms

Abstract: Drinfeld modules, mostly understood as analogues of elliptic curves, are central objects of the arithmetic of function fields. The study of their theory of moduli via the fundamental notion of shtukas led Drinfeld, and then L. and V. Lafforgue, to fundamental achievements in the Langlands correspondence for reductive groups over function fields. It was also realized that Drinfeld modules are interesting objects of number theory by themselves : their theory is remarkably similar to that of abelian varieties, with analogs of zeta values, Tate modules and transcendental periods. This led Anderson to interpret a slight variant of the category of Drinfeld’s shtukas as playing the role of a category of motives. Following the close analogy among Anderson’s t-motives and classical motives, I will introduce t-motivic cohomology (the counterpart of motivic cohomology in this setting). I will mostly survey on recent computations in the simplest case of the Carlitz twists — the counterpart of Tate twists — and their relations the function fields zeta values and polylogarithms (joint with A. Maurischat).

3:00 - 4:00pm Peter Scholze

Title: Some remarks on prismatic cohomology of rigid spaces

Abstract: n.a.

July 27, 2023 (CEST)

1:30 –2:30pm Chenji Fu

Title: Explicit mod-\ell categorical local Langlands correspondence for depth-zero supercuspidal part of GL_2

Abstract: Let F be a non-archimedean local field. I will explicitly describe:
(1) (the category of quasicoherent sheaves on) the connected component of the moduli space of Langlands parameters over Z_l-bar containing an irreducible tame L-parameter with F_l-bar coefficients;
(2) the block of the category of smooth representations of G(F) with Z_l-bar coefficients containing a depth-zero supercuspidal representation with F_l-bar coefficients.
The argument works at least for (simply connected) split reductive group G, but I will focus on the example of GL_2 for simplicity. The two sides turn out to match abstractly. If time permits, I will explain how to get the categorical local Langlands correspondence for depth-zero supercuspidal part of GL_2 with Z_l-bar coefficients in Fargues-Scholze's form.

I will try to upload my manuscript as well as handwritten notes on my github page: https://github.com/Chenji-Fu/Master-thesis
And you are welcome to send any comments to my email: carlfuchenji@gmail.com

3 – 4pm Konrad Zou

Title: Categorical local Langlands for GL_n: the irreducible case with integral coefficients

Abstract: Fargues and Scholze conjecture a Hecke-equivariant equivalence of categories between certain coherent sheaves on the stack of Langlands parameters and compact objects in the category of lisse-etale sheaves on Bun_G. We will discuss how to prove this conjecture for irreducible parameters for GL_n, even with integral coefficients. It turns out that this needs surprisingly little knowledge about the spaces involved, the non-formal input is the cardinality of the Fargues-Scholze L-packets and genericity of their members. The formal input is about localizations of categories over schemes, which we will discuss.

August 3, 2023 (CEST)

3 – 4pm Mingjia Zhang

Title: Igusa stacks and p-adic Shimura varieties

Abstract: Scholze has conjectured that a p-adic Shimura variety as a diamond can be expressed as a fiber product of a flag variety with a certain small v-stack, over the stack Bun_G due to Fargues-Scholze. In line with this conjecture, I constructed small v-stacks ("Igusa stacks") for some PEL type Shimura varieties, which, together with the flag varieties uniformize the Shimura varieties in the desired way. I will explain the conjecture, the construction of the Igusa stacks and some applications.

August 14, 2023 (CEST)

2 - 4pm Juan Esteban Rodriguez Camargo

Title: An introduction to geometric Sen theory

Abstract: In this talk I will explain the construction of the geometric Sen operator on rigid spaces and discuss different applications to Shimura varieties. More precisely, I will briefly recall basic facts on the theory of solid locally analytic representations, establish the set up for geometric Sen theory, explain the relation of the Sen operator with proétale cohomology, and show how to compute the Sen operator of a perfectoid Shimura variety.

August 17, 2023 (CEST)

3 - 4pm Teruhisa Koshikawa

Title: Vanishing range beyond the generic case

Abstract: I will talk about some ideas about the vanishing range of the cohomology with rational coefficients of Shimura varieties and locally symmetric spaces. Our aim is to understand the situation beyond the generic case. This is a joint project with Sug Woo Shin.


Publications

No.
Author(s)
Title
Preprint
Publication
2023b01 Imai, N.; Kato, H.; Youcis, A. The prismatic realization functor for Shimura varieties of abelian type 2310.08472
 
2023b02 Hamann, L.; Imai, N. Dualizing complexes on the moduli of parabolic bundles 2401.06342
2023b03 Bellovin, R.; Borade, N.; Hilado, A.; Kansal, K.; Lee, H.; Levin, B.; Savitt, D.; Wiersema, H. Irregular loci in the Emerton-Gee stack for GL_2

2309.13665

2023b04 Gulotta, D.R. On the strongly regular locus of the inertia stack of BunG

2312.17307

2023b05 Howe, S.; Klevdal, C. Admissible pairs and p-adic Hodge structures II: The
bi-analytic Ax-Lindemann theorem

2308.11064

2023b06 Howe, S.; Klevdal, C. Admissible pairs and p-adic Hodge structures I: Transcendence of the de Rham lattice

2308.11065

2023b07 Wang, Y. Geometry and cohomology of compactified Deligne-Lusztig varieties

2403.00979

2023b08 van den Hove, T. The integral motivic Satake equivalence for ramified groups

2404.15694


Summer School on the Arithmetic of the Langlands Program

May 08 - 12, 2023

Venue: Lipschitz-Saal (Endenicher Allee 60, Bonn)

Organizers: Frank Calegari (Chicago), Ana Caraiani (London), Laurent Fargues (Jussieu), Peter Scholze (Bonn)

Description:The school is co-financed by the Gottfried Wilhelm Leibniz Prize of Peter Scholze, awarded by the German Research Foundation (DFG).

Description: This school provides an introduction to some of the main topics of the trimester program. It is mainly directed at PhD students and junior researchers.

Automorphy Lifting: Patrick Allen (Montreal), James Newton (Oxford)
Categorical Local Langlands: Toby Gee (London), Xinwen Zhu (Stanford)
p-adic Automorphic Forms: George Boxer (London), Lue Pan (Princeton), Vincent Pilloni (Paris)
p-adic Geometry: Judith Ludwig (Heidelberg), Arthur-Cesar le Bras (Paris)
Shtukas: Eva Viehmann (Münster), Cong Xue (Paris)

The application deadline has expired and the platform has been closed.


Conference on Local Langlands and p-adic methods

June 12 - 16, 2023

Venue: Lipschitz-Saal (Endenicher Allee 60, Bonn)

Organizers: Frank Calegari (Chicago), Ana Caraiani (London), Laurent Fargues (Jussieu), Peter Scholze (Bonn)

The conference is financially supported in part by the Philip Leverhulme Prize of Ana Caraiani.

Description: This conference will be on various aspects of the local Langlands correspondence over p-adic fields and methods from p-adic Hodge theory. Topics will include the usual local Langlands correspondence, the p-adic local Langlands correspondence and the relation to coherent sheaves on spaces of Galois representations, and the geometry and cohomology of local Shimura varieties.

Speakers:

Charlotte Chan (Michigan)
Gabriel Dospinescu (Lyon)
Andrea Dotto (Chicago)
Tony Feng (Berkeley)
Jessica Fintzen (Bonn)
Ian Gleason (Bonn)
David Hansen (Singapur)
Eugen Hellmann (Münster)
David Helm (London)
Ashwin Iyengar (Johns Hopkins)
Tasho Kaletha (Michigan)
Brandon Levin (Houston)
Joao Lourenco (Münster)
Lucas Mann (Münster)
Wieslawa Niziol (Paris)
Juan Esteban Rodriguez Camargo (Bonn)
Eva Viehmann (Münster)
Marie-France Vigneras (Paris)


Trimester Program guests, who were invited and have confirmed to be at HIM during the period of this workshop, are eligible to attend this event.


Young Researchers Network on the Arithmetic of the Langlands Program

14 - 20 July 2023

Venue: Kopp (Eifel), roughly 80km southwest of Bonn

Organizers: Ben Heuer (Goethe University Frankfurt), Andreas Mihatsch (University of Bonn), Mingjia Zhang (University of Bonn)

Scientific Program: Tony Feng (UC Berkeley), Matteo Tamiozzo (University
of Warwick)

Description: The Young Researchers Network (YRN) is a workshop during the Hausdorff Trimester on the arithmetic of the Langlands program. It is aimed at young mathematicians (i.e. at the PhD and Postdoc level) that work in areas related to the Langlands program. Half of the Workshop will be of learning seminar style with talks given by participants. The other half provides ample time for discussion and for joint work on examples or problems. There will also be time for socialising and hiking in the Eifel. There will be two workshop topics (see below) that run in parallel.

Scientific Program

The YRN consists of two parallel workshops on the following topics:

Special cycles on moduli stacks of shtukas”, led by Tony Feng, which will be based on recent work of himself, Zhiwei Yun and Wei Zhang (see arxiv.org/abs/2103.11514 and arxiv.org/abs/2110.07001) Click here for details to this program

“Étale cohomology of Hilbert modular varieties”, led by Matteo Tamiozzo, which will be based on recent work of himself and Ana Caraiani (see arxiv.org/abs/2107.10081) Click here for details to this program

Participation

All participants will be provided with accomodation in Kopp (free of charge). The Registration is closed.


If you have any questions, then please contact the organizers Ben Heuer, Andreas Mihatsch and Mingjia Zhang at yrn2023(at)posteo.de.


Conference on Global Langlands, Shimura varieties, and shtukas

August 07 - 11, 2023

Venue: Lipschitz-Saal (Endenicher Allee 60, Bonn)

Organizers: Frank Calegari (Chicago), Ana Caraiani (London), Laurent Fargues (Jussieu), Peter Scholze (Bonn)

Description: This conference will be on various aspects of the global Langlands correspondence. Topics will include in particular the geometry and cohomology of Shimura varieties and more general locally symmetric spaces, or moduli spaces of shtukas.

Speakers:

Samit Dasgupta (Durham)
Matthew Emerton (Chicago)
Dennis Gaitsgory (MPI Bonn)
Linus Hamann (Princeton)
Pol van Hoften (Stanford)
Srikanth Iyengar (Utah)
Vincent Lafforgue (Grenoble)
Si Ying Lee (Bonn)
Chao Li (Columbia)
Yifeng Liu (Zhejiang)
James Newton (Oxford)
Lue Pan (Princeton)
Vincent Pilloni (Paris)
Alice Pozzi (London)
Sam Raskin (Austin)
Cong Xue (Paris)
Sarah Zerbes (ETH Zürich)
Rong Zhou (Cambridge)
Xinwen Zhu (Stanford)


Trimester Program guests, who were invited and have confirmed to be at HIM during the period of this workshop, are eligible to attend this event.


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