Universität Bonn

Dual Trimester Program: "Synergies between modern probability, geometric analysis and stochastic geometry"


January 8 - April 19, 2024

Organizers: Ronen Eldan, Assaf Naor, Kavita Ramanan, Matthias Reitzner, Christoph Thäle, Elisabeth M. Werner

Description: The connection between probability and geometry is an emerging research area. It includes log-Brunn Minkowski inequality, large deviations and asymptotic geometric analysis, concentration phenomena and random spatial systems. It has numerous applications, ranging from material science and theoretical computer science to high dimensional statistics.

In the last decade these connections turned out to be extremely fruitful. Ideas and techniques from geometry strongly influenced probability theory and vice versa, leading to several breakthrough results.

The program aims to stimulate substantial progress at the crossroads of these disciplines by bringing together researchers from asymptotic geometric analysis, stochastics and stochastic geometry, and high dimensional convex geometry.

 The trimester program will include an introductory winter school
"Interaction between probability and geometry" (January 22 - 26, 2024)

two workshops
"Asymptotics of (random) convex sets: fluctuations and large deviations" (February 19 - 23, 2024)
"High dimensional phenomena: geometric and probabilistic aspects" (March 11 - 15, 2024)

and three thematic weeks
Interaction between convexity and discrete structures (February 5 - 9, 2024)
Asymptotic properties of random sets (February 26 - March 1, 2024)
Large deviations in asymptotic functional analysis (March 18 - 22, 2024)
The dates for the thematic weeks are preliminary and will be confirmed later.
 
The application for the trimester program has been closed.


Participants

PERSON
AFFILIATION
PERIOD OF STAY
Shiri Artstein Tel Aviv University
Imre Barany Renyi Institute of Mathematics 18.02.2024 – 19.04.2024
Franck Barthe Université Toulouse III - Paul Sabatier
Dominik Beck Charles University 14.01.2024 – 27.01.2024
Andreas Bernig Goethe University Frankfurt am Main 10.03.2024 – 23.03.2024
Florian Besau Technische Universität Wien 21.01.2024 – 19.04.2024
Leo Brauner TU Wien 25.02.2024 – 15.03.2024
Pierre Calka Universite de Rouen Normandie 11.02.2024 – 24.02.2024
Alan Chang Washington University in St. Louis 08.01.2024 – 09.02.2024
Cecilia D'Errico Université Paris-Saclay 11.02.2024 – 24.02.2024
Jaume de Dios Pont ETHZ 08.01.2024 – 31.01.2024
Nina Gantert Technische Universität München 04.03.2024 – 15.03.2024
Miriam Gordin Princeton University 03.03.2024 – 16.03.2024
Daniel Hug Karlsruhe Institute of Technology (KIT) 26.02.2024 – 24.03.2024
Benjamin Jaye Georgia Tech 03.03.2024 – 29.03.2024
Michael Juhos University of Passau 19.02.2024 – 01.03.2024
Zakhar Kabluchko University of Münster 08.01.2024 – 19.04.2024
Kirill Kashkan University of Toronto 08.01.2024 – 19.04.2024
Jonas Knoerr TU Wien 03.03.2024 – 22.03.2024
Alexander Koldobsky University of Missouri-Columbia 03.03.2024 – 19.04.2024
Dylan Langharst Sorbonne University 08.01.2024 – 19.04.2024
Rafal Latala University of Warsaw 11.02.2024 – 01.03.2024
Alexander Litvak University of Alberta 21.01.2024 – 19.04.2024
Galyna Livshyts Georgia Institute of Technology 03.03.2024 – 29.03.2024
Monika Ludwig TU Wien 14.01.2024 – 15.03.2024
Francisco Marín Sola University of Murcia 21.01.2024 – 15.03.2024
Sergii Myroshnychenko University of the Fraser Valley 17.02.2024 – 02.03.2024
Assaf Naor Princeton 17.03.2024 – 23.03.2024
Paul Navas Alban TU Dortmund 08.01.2024 – 27.01.2024
Oscar Ortega Moreno Technische Universität Wien 25.02.2024 – 15.03.2024
Grigorios Paouris Texas A&M University
Eli Putterman Tel Aviv University 08.01.2024 – 19.04.2024
Yaozhong Qiu Imperial College London 08.01.2024 – 19.04.2024
Kavita Ramanan Brown University 29.02.2024 – 22.03.2024
Matthias Reitzner Universität Osnabrück 28.01.2024 – 19.04.2024
Mark Rudelson University of Michigan 10.03.2024 – 19.04.2024
Carsten Schuett Christian-Albrechts-Universitaet 08.01.2024 – 19.04.2024
Matthias Schulte Hamburg University of Technology 11.02.2024 – 23.02.2024
Hui-An Shen University of Bern 21.01.2024 – 22.03.2024
Mathias Sonnleitner University of Passau 14.01.2024 – 27.01.2024
Mathias Sonnleitner University of Passau 18.02.2024 – 23.02.2024
Anna Strotmann University of Osnabrück 21.01.2024 – 27.01.2024
Anna Strotmann University of Osnabrück 03.03.2024 – 22.03.2024
Rui Sun University of Alberta 03.02.2024 – 25.02.2024
Stanislaw Szarek Case Western Reserve University 18.02.2024 – 22.03.2024
Maud Szusterman Tel Aviv University 21.01.2024 – 15.03.2024
Christoph Thäle Ruhr University Bochum 19.02.2024 – 22.03.2024
Tara Trauthwein University of Oxford 25.02.2024 – 15.03.2024
Hiroshi Tsuji Osaka university 25.02.2024 – 16.03.2024
Philipp Tuchel Ruhr University Bochum 21.01.2024 – 23.02.2024
Jacopo Ulivelli TU Wien 21.01.2024 – 23.02.2024
Santosh Vempala Georgia Tech 01.03.2024 – 16.03.2024
Beatrice-Helen (Veatriki Eleni) Vritsiou University of Alberta 08.01.2024 – 29.03.2024
Vladislav Vysotskiy University of Sussex 11.02.2024 – 23.02.2024
Elisabeth M. Werner Case Western Reserve University 08.01.2024 – 19.04.2024
Bartlomiej Zawalski Polish Academy of Sciences 09.03.2024 – 23.03.2024
Ning Zhang Huazhong University of Science and Technology 17.01.2024 – 20.04.2024
PERSON
AFFILIATION
Dominik Beck Charles University
Florian Besau Technische Universität Wien
Xiaxing Cai Vienna University of Technology
Alan Chang Washington University in St. Louis
Jaume de Dios Pont ETHZ
Mathias in Wolde-Lübke University of Münster
Zakhar Kabluchko University of Münster
Kirill Kashkan University of Toronto
Dominik Kutek University of Warsaw
Dylan Langharst Sorbonne University
Matthias Lienau Hamburg University of Technology
Alexander Litvak University of Alberta
Monika Ludwig TU Wien
Andreas Malliaris IMT
Francisco Marín Sola University of Murcia
Taisiia Morozova Uppsala University
Paul Navas Alban TU Dortmund
Eli Putterman Tel Aviv University
Yaozhong Qiu Imperial College London
Benedikt Rednoß Ruhr University Bochum
Daniel Rosen Technische Universität Dortmund
Carsten Schuett Christian-Albrechts-Universitaet
Hui-An Shen University of Bern
Mathias Sonnleitner University of Passau
Clara Stegehuis University of Twente
David Steigenberger University of Münster
Anna Strotmann University of Osnabrück
Kateryna Tatarko University of Waterloo
Vanessa Trapp Hamburg University of Technology
Philipp Tuchel Ruhr University Bochum
Jacopo Ulivelli TU Wien
Beatrice-Helen (Veatriki Eleni) Vritsiou University of Alberta
Elisabeth M. Werner Case Western Reserve University
Xiaohan Zhu Universität Zürich
PERSON
AFFILIATION
PERIOD OF STAY
Gusakova Anna
 University of Münster
 
Kur Gil
ETH Zurich
 
Navas Alban Paul
Technical University of Dortmund
 
O'Reilly Eliza
Johns Hopkins University
 
Rednoß Benedikt
Ruhr University Bochum
 
Rotem Liran
Technion -- Israel Institute of Technology
 
Sambale Holger
Ruhr University Bochum, Faculty of Mathematics
 
Sonnleitner Mathias
University of Passau
 
Tkocz Tomasz
 Carnegie Mellon University
 
Trapp Vanessa
 Hamburg University of Technology
 
PERSON
AFFILIATION
PERIOD OF STAY
Alfonseca Cubero Maria de los Angeles
 North Dakota State University
 
Assouline Rotem
Weizmann Institute of Science
 
Bartl Daniel
University of Vienna
 
Bilyk Dmitriy
University of Minnesota
 
Colesanti Andrea
University of Florence
 
Faifman Dmitry
Tel Aviv University
 
Fradelizi Matthieu
Gustave Eiffel University
 
Haddad Julián Eduardo
University of Sevilla
 
Herscovici Orli
St. John's University, NY
 
König Hermann
University of Kiel
 
Ludwig Monika
University of Vienna
 
Navas Alban Paul
Technical University of Dortmund
 
Peccati Giovanni
University of Luxembourg
 
Ryabogin Dmitry
Kent State University
 
Sambale Holger
Ruhr University Bochum
 
Slomka Boaz
The Open University of Israel
 
Yaskin Vladyslav
University of Alberta
 
Zhang Ning
 Huazhong University of Science and Technology
 

Trimester Seminar Series

Tuesday February 27, 2024

10:00 - 11:00 am, Ning Zhang (Huazhong University of Science and Technology)

Title: The Aleksandrov projection theorem for convex lattice polygons

Abstract: In this talk, we will show that the examples given in Gardner-Gronchi-Zong's work are only counterexamples for the discrete analogue of the Aleksandrov projection theorem in Z^2.

Tuesday March 5, 2024

10:00 - 11:00 am,  Mascha Gordina (University of Connecticut)

Title: tba

Abstract: tba

Tuesday March 19, 2024 

10:00 - 11:00 am  Hermann Koenig (University of Kiel)

Title: Hyperplane sections of l_p^n for 2 < p < \infty.

Abstract: tba


  Publications & Preprints


Winter School on Geometry and Probability

January 22 - 26, 2024

Venue: HIM lecture hall (Poppelsdorfer Allee 45, Bonn)

Organizers: Ronen Eldan, Assaf Naor, Kavita Ramanan, Matthias Reitzner, Christoph Thäle, Elisabeth M. Werner

Lecturers:

  • Daniel Rosen
  • Clara Stegehuis
  • Kateryna Tatarko

Description: The aim of this school is to introduce junior researchers to different angles of the program. Courses will be given on large deviation theory and its applications, on geometric analysis, and on the connections between probability theory and geometry. In addition to the courses, a poster session accompanied by blitz talks will be organized.

 The application is closed.


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.


Workshop: Asymptotics of (random) convex sets: fluctuations and large deviations

February 19-23, 2024

Venue: HIM lecture hall, Poppelsdorfer Allee 45, Bonn

Organizers: Kavita Ramanan, Matthias Reitzner and Christoph Thäle

Lecturers:

  • Radek Adamczak
  • Pierre Calka
  • Anna Gusakova
  • Zakhar Kabluchko
  • Gil Kur
  • Rafal Latala
  • Alexander Litvak
  • Sergii Myroschnychenko
  • Eliza O’Reilly
  • Liran Rotem
  • Holger Sambale
  • Matthias Schulte
  • Carsten Schütt
  • Maud Szusterman
  • Tomasz Tkocz
  • Jacopo Ulivelli
  • Beatrice Vritsiou
  • Vladislav Vysotskiy

Description: Asymptotic geometric analysis is concerned with geometric and linear properties of finite dimensional objects, when the dimension and other relevant parameters, grow to infinity. Stochastic geometry deals with randomly constructed sets and asks for fundamental functionals like volume, curvature or combinatorial and topological properties of the resulting set when some underlying parameters tend to infinity.

Breakthrough results within the last years are, for example, strong concentration inequalities for volumes of convex bodies and more general log-concave measures, and a large number of limit laws for random sets.

This workshop brings together experts from asymptotic geometric analysis and stochastic geometry in order to build new bridges between these areas and to stimulate mutual exchange.


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.


Workshop: High dimensional phenomena: geometric and probabilistic aspects

March 11-15, 2024

Venue: HIM lecture hall, Poppelsdorfer Allee 45, Bonn

Organizers: Ronen Eldan, Assaf Naor and Elisabeth M. Werner

Lecturers:

  • Shiri Artstein
  • Rotem Assouline
  • Andreas Bernig
  • Florian Besau
  • Leo Brauner
  • Andrea Colesanti
  • Maria Alfonseca Cubero
  • Dima Faifman
  • Matthieu Fradelizi
  • Julian Haddad
  • Orli Herscovici
  • Daniel Hug
  • Jonas Knoerr
  • Alexander Koldobsky
  • Dylan Langharst
  • Galyna Livshyts
  • Monika Ludwig
  • Oscar Ortega Moreno
  • Eli Putterman
  • Mark Rudelson
  • Dima Ryabogin
  • Lisa Sauermann
  • Boaz Slomka
  • Maud Szusterman
  • Santosh Vempala
  • Vlad Yaskin

Description: High-dimensional systems, i.e., systems depending on a large number of parameters, are frequent in mathematics and the applied sciences, and so understanding of high-dimensional structures and phenomena have become increasingly important and indispensable.

The workshop “High dimensional phenomena: geometric and probabilistic aspects” is dedicated to these topics with a focus on probabilistic properties in high dimensional convex geometry. 


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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