Universität Bonn

Dual Trimester Program: "Boolean Analysis in Computer Science"


September 9 - December 18, 2024

Organizers: Sergey Bobkov, Polona Durcik, Alexandros Eskenazis, Irina Holmes Fay, Paata Ivanisvili, Dor Minzer, and Alexander Volberg

Description: The trimester program aims to  bring together experts, postdocs, and students in computer science and certain areas in mathematics (analysis, probability, and combinatorics) in order to learn about some challenging open problems recently raised in computer science, to use and invent necessary new tools and techniques in mathematics to solve these challenging problems, and vice versa to learn and further extend methods developed in computer science to develop new directions in mathematics motivated by questions in computer science. The core topics of the trimester program would be: learning theory, complexity of classical and quantum algorithms, vector valued functions on the hypercube, complex Hypercontractivity, polynomial inequalities on the hypercube, and discrete approximation theory on the hamming cube.

The online application platform to participate in this dual trimester program is open until february 29, 2024 (CEST)


Participants

PERSON
AFFILIATION
PERIOD OF STAY
Florent Baudier
Texas A&M University
 
Lars Becker
Universität Bonn
07.09.2024 - 18.12.2024
David Beltran
Universitat de Valencia
06.10.2024 - 19.10.2024
Sergey Bobkov
University of Minnesota
09.10.2024 - 18.12.2024
Alexander Borichev
Aix Marseille University
 
Dario Cordero-Erausquin
Sorbonne Université
Jaume de Dios Pont
ETHZ
 
Devraj Duggal
University of Minnesota
 
Polona Durcik
Chapman University
 
Alexandros Eskenazis
CNRS, Sorbonne Université
09.09.2024 - 08.12.2024
Yuval Filmus
Technion - Israel Institute of Technology
 
Felipe Ferreira Goncalves
IMPA
09.09.2024 - 08.11.2024
Rachel Greenfeld
Institute for Advanced Study
 
Dmitry Grigoryev
CNRS, Université de Lille
 
Irina Holmes Fay
Texas A&M University
05.10.2024 - 10.10.2024
Tuomas Hytönen
Aalto University
15.09.2024 - 11.10.2024
Alex Iosevich
University of Rochester
15.09.2024 - 28.09.2024
Paata Ivanisvili
University of California Irvine
William Johnson
Texas A&M University
Guy Kindler
The Hebrew University of Jerusalem
Ohad Klein
The Hebrew University of Jerusalem
Vjekoslav Kovac
University of Zagreb
Dmitrii Krachun
Princeton University
Rafal Latala
University of Warsaw
James Lee
University of Washington
Noam Lifshitz
The Hebrew University of Jerusalem
Galyna Livshyts
Georgia Institute of Technology
Jose Ramon Madrid Padilla
Virginia Polytechnic Institute and State University
06.10.2024 - 19.10.2024
Arnaud Marsiglietti
University of Florida
James Melbourne
Centro de Investigación en Matemáticas, A.C.
Manor Mendel
Open University of Israel
Dan Mikulincer
MIT
Krzysztof Oleszkiewicz
University of Warsaw
Jinyoung Park
Courant Institute, New York University
Guillermo Rey
UAM
Cyril Roberto
Univesrité Paris Nanterre
Joris Roos
University of Massachusetts Lowell
09.09.2024 - 07.12.2024
Alex Samorodnitsky
The Hebrew University of Jerusalem
Gideon Schechtman
Weizmann Institute of Science
Rocco Servedio
Columbia University
Lenka Slavíkóva
Charles University
Joseph Slote
California Institute of Technology
Tomasz Tkocz
Carnegie Mellon University
Alexander Volberg
Michigan State University
09.09.2024 - 18.12.2024
Bruno Volzone Politecnico di Milano
10.10.2024 - 10.11.2024
Blazej Wróbel
Polish Academy of Sciences
Quanhua Xu
Université de Franche-Comté
Haonan Zhang
University of South Carolina
PERSON
AFFILIATION
PERIOD OF STAY
 
 
 
 
 
 
 
 
 
PERSON
AFFILIATION
PERIOD OF STAY
 
 
 
 
 
 
 
 
PERSON
AFFILIATION
PERIOD OF STAY
 
 
 
 
 
 
 
 
 
PERSON
AFFILIATION
PERIOD OF STAY
 
 
 
 
 
 
 
 
 

School “PAC (probably approximately correct) learning and Boolean Harmonic Analysis”

September 16 - 20, 2024

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

Organizers:  Sergey Bobkov, Polona Durcik, Alexandros Eskenazis, Irina Holmes Fay, Paata Ivanisvili, Dor Minzer, and Alexander Volberg

Lecturers:

  • Alexandros Eskenazis
  • Yuval Filmus
  • Alex Iosevich
  • Naom Lifshitz
  • Alexander Volberg

Description: The interaction between learning theory and harmonic analysis was emphasized by mathematics of quantum computing. One of the outstanding open problems in this area concerns the sharp estimates in Bohnenblust-Hille inequality that generalizes a celebrated Littlewood’s lemma.

How to learn (with small error and with large probability) a complicated function or a very large matrix in a relatively small number of random (quantum) queries?  Of course, there should be some Fourier type restrictions on a function (a matrix) to have a reasonable answer to this.

The “classical” way of learning (Boolean) functions comes from very sophisticated extensions of  theorems of Kahn—Kalai—Linial type. In those results the interplay between maximal influence and heavy Fourier tails is the main technique. Maximal influence should be large if the `tail’ is small. However, recently another approach that is hinged on Bohnenblust—Hille inequality appeared. The school will cover the classical maximal influence approach to `probably approximately correct' (PAC) learning as well as the recent achievements using Bohnenblust—Hille inequality and its quantum counterpart.

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

The online application platform to participate in the school will be accessible shortly after the due date to apply for participation in the trimester program has expired.


Workshop: Analysis and Geometry on Discrete Spaces

October 7 - 11, 2024

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

Organizers: Sergey Bobkov, Polona Durcik, Alexandros Eskenazis, Irina Holmes Fay, Paata Ivanisvili, Dor Minzer, and Alexander Volberg

Lecturers:

  • Florent Baudier
  • Pandelis Dodos
  • Michael Dymond
  • Yuval Filmus
  • Rachel Greenfield
  • James R. Lee
  • Noam Lifshitz
  • Manor Mendel
  • Assaf Naor (tbc)
  • Stefanie Petermichl
  • Justin Salez
  • Alex Samorodnitsky
  • Błaźej Wróbel 
  • Haonan Zhang

Analytic questions of a discrete nature are ubiquitous in many areas of mathematics and theoretical computer science. The purpose of this conference is to bring together a diverse group of experts working, broadly, on Discrete Analysis with particular emphasis on questions having a geometric component. The topics will include Boolean analysis, vector-valued harmonic analysis, metric embeddings, geometry of graphs and groups, and aspects of discrete probability and theoretical computer science.

 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: Analysis in TCS: testing, learning, and complexity

November 4 - 8, 2024

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

Organizers: Sergey Bobkov, Polona Durcik, Alexandros Eskenazis, Irina Holmes Fay, Paata Ivanisvili, Dor Minzer, Joseph Slote, and Alexander Volberg

Harmonic analysis on the hypercube has long found exciting applications in theoretical computer science, in areas as diverse as learning theory, voting theory, and computational complexity theory. And TCS has also inspired challenging new questions in analysis, often leading to new perspectives on familiar topics. Indeed, this connection is only deepening as quantum computing, machine learning, and other areas of TCS expand to spaces beyond the hypercube. Talks in this workshop will focus on such connections recently uncovered, techniques in use today, and conjectures old and new. We hope it can also be an invitation to the topic for a harmonic analysis audience, thanks to additional introductory talks scheduled.

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: Information theory, Boolean functions, and lattice problems

November 18 - 22, 2024

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

Organizers: Sergey Bobkov, Polona Durcik, Alexandros Eskenazis, Steven Heilman, Irina Holmes Fay, Paata Ivanisvili, Dor Minzer, and Alexander Volberg

Lecturers:

  • Thomas Courtade
  • James Melbourne
  • Chandra Nair
  • Piotr Nayar
  • Igal Sason
  • Lisa Sauermann
  • Noah Stevens-Davidowitz
  • Prasad Tetali
  • Sergey Tikhonov
  • Tomasz Tkocz

This workshop brings together leading experts in Boolean analysis, information theory, and lattices to explore the forefront of these disciplines  through the talks and discussions about  intriguing open problems, recent resolutions, and the evolution of innovative ideas, approaches, and techniques.

 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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