—————————————– IMPORTANT INFORMATION ——————————————

Due to the evolution of the health situation related to the Coronavirus epidemic, the conference will finally be totally on line. The Zoom link will be sent in the confirmation mail.

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Combinatorics and Arithmetic for Physics: special days

The meeting’s focus is on questions of discrete mathematics and number theory with an emphasis on computability. Problems are drawn mainly from theoretical physics (renormalisation, combinatorial physics, geometry, evolution equations, noncommutative differential equations) or related to its models, but not only.

Computation, based on combinatorial structures (graphs,trees, words, automata, semirings, bases) or classic structures (operators, Hopf algebras, evolution equations, special functions, categories) are good candidates for computer-based implementation and experimentation. »

Organised by : Gérard H.E. Duchamp, Maxim Kontsevich, Gleb Koshevoy et Hoang Ngoc Minh

Updated information (as the Book of Abstracts) can be found there
https://www-lipn.univ-paris13.fr/~duchamp/Conferences/CAP7_2020.html

The concept of topos was introduced by A. Grothendieck during his Séminaire de Géométrie Algébrique du Bois-Marie, which took place at the IHES in the early sixties. The original motivation was that of defining a general notion of space on which one could define cohomological invariants in the algebro-geometric setting needed for proving the Weil's conjectures. In spite of this quite specific technical motivation, the notion of topos appeared at the very beginning as defining a new conception of space, capable of unifying the continuous and the discrete in an harmonious marriage: in the words of Grothendieck "Un lit si vaste en effet (telle une vaste et paisible rivière très profonde…), que “tous les chevaux du roi y pourraient boire ensemble…". "
 
In the following years, new perspectives on the notion on topos emerged. According to Lawvere and Tierney, a topos can be considered not only as a generalized space but as a mathematical universe within which one can carry out most familiar set-theoretic constructions, but which also, thanks to the inherent ‘flexibility' of the notion of topos, can be profitably exploited to construct 'new mathematical worlds' having particular properties. On the other hand, the theory of classifying toposes allows to regard a Grothendieck topos as a suitable kind of first-order theory modulo Morita-equivalence. Toposes have also been proved effective in studying dualities and establishing ‘bridges’ across different mathematical theories with a related semantic content.  
 
The conference aims to illustrate the fruitfulness and wide-ranging impact of the notion of topos, by featuring presentations on new theoretical advances in the subject (including the theory of higher toposes) as well as on applications of toposes in different fields such as number theory, algebraic geometry, logic, functional analysis, topology, mathematical physics and computer science. The conference is preceded by a two-day introductory mini-course for the benefit of students and mathematicians who are not already familiar with topos theory.

Scientific committee : O. CARAMELLO*, P. CARTIER, A. CONNES, S. DUGOWSON, A. KHELIF

23-24 November : Tutorials by: Olivia CARAMELLO and André JOYAL

25-27 November : Invited speakers :

Mathieu ANEL (University Paris-Diderot)
Luca BARBIERI-VIALE (Università degli Studi di Milano)
Jean BÉNABOU (University Paris 13)
Caterina CONSANI (Johns Hopkins University, Baltimore)
Thierry COQUAND (University of Göteborg)
Simon HENRY (Radboud University, Nijmegen)
André JOYAL (Université du Quebec, Montréal)
Mike PREST (University of Manchester)
Urs SCHREIBER (Eduard Čech Institute for Algebra, Geometry and Physics, Prague)
Carlos SIMPSON (University of Nice-Sophia-Antipolis) 
Michel VAQUIÉ (University Paul Sabatier, Toulouse)

25 & 27 November: Short Communications Speakers

Ingo BLECHSCHMIDT (University of Augsburg)
Matias DATA (Universidad de Buenos Aires)
Jonas FREY (Copenhagen University)
Camell KACHOUR
Guilherme Frederico LIMA de CARVALHO e SILVA (University of Cambridge)
Pietro POLESELLO (Universita di Padova)
David ROBERTS (University of Adelaide)
Anna Carla RUSSO (University of Salerno & Université Paris-Diderot)
Alex SIMPSON (University of Ljubljana)
Zoran  SKODA (University of Hradec Kralové)
Christopher TOWNSEND (Royal Bank of Canada)

* holder of a fellowship "L'Oréal-Unesco for Women in Science" which supports the conference
 

The non-official website of the conference  ­(maintained by S. Dugowson)
contains further materials provided by the speakers
­in connection with their talks and edited versions of the videos of the tutorials.

List of speakers includes:

      Thomas ALAZARD (ENS Paris)
      Valeria BANICA (Université d'Evry Val d'Essonne)
      Diego CORDOBA (ICMAT)
      Mihalis DAFERMOS (University of Cambridge)
      Camillo DE LELLIS (Universität Zürich)
      Benjamin DODSON (Johns Hopkins University)
      Patrick GERARD (Université Paris-Sud)
      Pierre GERMAIN (Courant Institute of Mathematics)
      Cécile HUNEAU (ENS Paris)
      Alexandre IONESCU (Princeton University)
      Robert JERRARD (University of Toronto)
      Thomas KAPPELER (Universität Zürich)
      Rowan KILLIP (UC Los Angeles)
      Michal KOWALCZYK (Universidad de Chile)
      David LANNES (Université de Bordeaux 1)
      Andrew LAWRIE (University of California, Berkeley)
      Enno LENZMANN (Universität Basel)
      Andrea NAHMOD (University of Massachusetts, Amherst)
      Fabio PUSATERI (Princeton University)
      Benjamin SCHLEIN (Universität Zürich)
      Christopher SOGGE (Johns Hopkins University)
      Vlad VICOL (Princeton University)
      Hatem ZAAG (Université Paris 13)

Organising Committee:

      Thomas DUYCKAERTS (Université Paris 13)
      Frank MERLE (Université de Cergy-Pontoise & IHÉS)
      Jérémie SZEFTEL (Université Pierre et Marie Curie)

Crédit photographique: © CNRS Photothèque
RAJAU Benoît (UMR7538 – Laboratoire de physique des lasers (LPL), VILLETANEUSE et VRIGNAUD François (UMR6172 – XLIM – LIMOGES)

With the support of

 

MASAKI KASHIWARA and ALGEBRAIC ANALYSIS

The story starts in the sixties, when Mikio Sato introduces hyperfunctions by algebraic methods with the dream to treat classical problems of analysis with the tools of algebraic geometry, homological algebra and sheaves, what he called "Algebraic Analysis".

Read more on Giuseppe Dito's web page

 

List of speakers:

    Anton ALEKSEEV (Université de Genève)
    Philip BOALCH (Université Paris-Sud)
    Anna CADORET (Ecole Polytechnique)
    Giovanni FELDER (ETH Zürich)
    Julien GRIVAUX (Aix-Marseille Université, IHES)
    Stéphane GUILLERMOU (Université Grenoble Alpes)
    Mikhail KAPRANOV (IPMU, The University of Tokyo)
    Masaki KASHIWARA (RIMS, Kyoto University)
    Maxim KONTSEVICH (IHES)
    François LOESER (Université Paris 6)
    Takuro MOCHIZUKI (RIMS, Kyoto University)
    Motohico MULASE (UC Davis)
    Hiraku NAKAJIMA (RIMS, Kyoto University)
    Marco ROBALO (Université Paris 6)
    Raphaël ROUQUIER (UCLA)
    Takeshi SAITO (The University of Tokyo)
    David TREUMANN (Boston College)
    Michèle VERGNE (Université Paris 7)
    Gabriele VEZZOSI (Università di Firenze)
    Tony Yue YU (Université Paris-Sud)

Organising Committee:

     Giuseppe Dito  (Université de Bourgogne)
     Maxim Kontsevich  (IHES)
     Pierre Schapira  (Université Paris 6)

 

The aim of this workshop is to bring together mathematicians and computer scientists around some talks on recent results in statistics and machine learning. Various topics will be presented, among which sequential learning, aggregation of estimators, Hidden Markov models, network inference and optimization for machine learning.

Organised by : Sylvain ARLOT

Invited speakers :

Pierre Alquier (ENSAE)
Stéphane Gaiffas (Ecole Polytechnique)
Claire Lacour (Université Paris-Sud)
Odalric-Ambrym Maillard (INRIA – Université Paris-Sud)
Yann Ollivier (CNRS – Université Paris-Sud)
Joseph Salmon (LTCI, CNRS, Télécom ParisTech)

 

 

Holder of the AXA-IHÉS Chair of Mathematics

Certainly, geometry in the 21st century with physical application, will involve the study of new kinds of objects with categorical structures playing a primordial role.
Maxim Kontsevich has been a force of nature in creating these new categorical structures in the last 20 years.
The goal of this conference is to celebrate his contributions to Mathematics and Physics.
This meeting­ will contribute to disseminate results on­ a variety of subjects and will ­serve a perfect opportunity for young scientists to get involved in top research. ­

Invited speakers

Mohammed ABOUZAID (Columbia Univ., New York USA)
Denis AUROUX (U.C. Berkeley, USA)
Tom BRIDGELAND (Univ. of Sheffield, UK)
Alain CONNES (IHÉS-Collège de France, Paris, France)
Kevin COSTELLO (Northwestern Univ., Evanston, USA)
Emanuel DIACONESCU (Univ. of Alberta, Canada)
Simon DONALDSON (Simons Center for Geometry and Physics, Stony Brook, USA)
Alexander EFIMOV (Steklov Mathematical Institute, RAS, Moscow, Russia)
Yakov ELIASHBERG (Stanford Univ., USA)
Kenji FUKAYA (Simons Center for Geometry and Physics, Stony Brook, USA)
Alexander GONCHAROV (Yale Univ., New Haven, USA)
Sergei GUKOV (Caltech, Pasadena, USA)
Mikhail KAPRANOV (Kavli Institute for the Physics and Mathematics of the Universe (WPI), Tokyo)
Anton KAPUSTIN­  (Caltech, Pasadena, USA)
François LOESER (Univ. Pierre-et-Marie-Curie and IHÉS, France)
Yuri MANIN (MPIM ­Bonn, Germany)
Nikita NEKRASOV (Simons Center for Geometry and Physics, Stony Brook, USA)
Tony PANTEV (Univ. of Pennsylvania, Philadelphia, USA)
Graeme SEGAL (Univ. of Oxford, UK)
Paul SEIDEL  (MIT, Cambridge, USA)
Carlos SIMPSON (CNRS-Univ. de Nice, France)
Yan SOIBELMAN (Kansas State Univ., Manhattan, USA)
Richard THOMAS (Imperial College London, UK)
Bertrand TOËN (CNRS-Univ. de Montpellier 2, France)
Yuri TSCHINKEL (Courant Institute & Simons Foundation, New York, ­USA)
Claire VOISIN (CNRS-École Polytechnique, Palaiseau, France)
Thomas WILLWACHER (ETH Zürich, Switzerland)
Shing-Tung YAU (Chinese Univ. of  Hong Kong,  China and Harvard Univ., USA)
Don ZAGIER (Collège de France, Paris and MPIM Bonn, Germany)
Anton ZORICH (Univ. Paris-Diderot, France)

 

With the support of the Clay Mathematics Institute and the FMJH

      

COMPUTATIONAL AND STATISTICAL TRADE-OFFS IN LEARNING

Organized by: Sylvain Arlot (Université Paris-Sud, Paris-Saclay), Francis Bach (INRIA Paris), Alain Celisse (Université de Lille 1)

This workshop focuses on the computational and statistical trade-offs arising in various domains (optimization, statistical/machine learning).
This is a challenging question since it amounts to optimize the performance under limited computational resources, which is crucial in the large-scale data context.
One main goal is to identify important ideas independently developed in some communities that could benefit the others.

Speakers :

Pierre Alquier (ENSAE, Paris-Saclay)
Alexandre d'Aspremont (D.I., CNRS/ENS Paris)
Quentin Berthet (DPMMS, Cambridge Univ., UK)
Alain Celisse (Université de Lille 1)
Rémi Gribonval (INRIA, Rennes)
Emilie Kaufmann (CNRS, Lille)
Vianney Perchet (CREST, ENSAE Paris-Saclay)
Garvesh Raskutti (Wisconsin Institute for Discovery, Madison, USA)
Ohad Shamir (Weizmann Institute, Rehovot, Israel)
Silvia Villa (Istituto Italiano di Tecnologia, Genova & MIT, Cambridge, USA)

 

Organisers: Thibault Damour (IHES), Vasily Pestun (IHES), Eliezer Rabinovici (IHES &  Hebrew Univ. of Jerusalem)

The special properties of Black Holes have intrigued researchers for decades. They do signal their existence in nature in several ways including by emitting gravitational waves while merging. Their way of handling information is more elusive. In this workshop we plan to discuss mostly several aspects of this information handling with some emphasis on possible relations it has to the theory of chaos, thermalization and quantum information.

Invited speakers:

     BARBON José (IFT-CSIC, Univ. Autonoma de Madrid)
     BENA Iosif (CEA Saclay)
     CRAPS Ben (Vrije Univ. Brussel)
     DE BOER Jan  (Univ. of Amsterdam)
     FERRARI Frank (Univ. Libre de Bruxelles)
     GIBBONS Gary  (DAMTP, Cambridge Univ.)
     GURAU Razvan (CPHT, Ecole polytechnique)
     KURCHAN Jorge (ENS, Paris)
     MALDACENA Juan (IAS, Princeton)
     PAGE Don N. (Univ. of Alberta, Canada)
     PAPADODIMAS Kyriakos (CERN, Genève)
     RIVASSEAU Vincent (Univ. Paris-Sud, Orsay)
     ROSENHAUS Vladimir (UC Santa Barbara)
     SHEPELYANSKY Dima  (Univ. Paul Sabatier, Toulouse)
     SOLODUKHIN Sergey (Univ. de Tours)
     VENEZIANO Gabriele (CERN, Genève)

 

As part of the IHES-Huawei partnership, this one-day workshop is organised by the Huawei's Mathematical and Algorithmic Sciences Lab jointly with IHÉS and aims at creating scientific exchanges around mathematical topics that are essential for the development and innovation of the ICT.

 

Si vous souhaitez vous inscrire pour le repas de midi, veuillez envoyer un mail à Elisabeth Jasserand : jasserand@ihes.fr

Arithmetic and Algebraic Geometry:

A conference in honor of Ofer Gabber on the occasion of his 60th birthday

List of speakers includes:

     Y. André (CNRS & IMJ-PRG),
     A. Beilinson (University of Chicago),
     B. Bhatt (University of Michigan),
     B. Conrad (Stanford),
     G. Faltings (MPIM),
     D. Gaitsgory (Harvard),
     K. Kato (University of Chicago),
     N. Katz (Princeton),
     M. Kisin (Harvard),
     G. Laumon (Université Paris-Sud),
     G. Lusztig (MIT),
     M. Olsson (UC Berkeley),
     F. Orgogozo (CNRS & École polytechnique),
     L. Ramero (Université de Lille I),
     T. Saito (University of Tokyo),
     P. Scholze (Universität Bonn),
     A. Shiho (University of Tokyo),
     Y. Varshavsky (Hebrew University of Jerusalem),
     A. Vasiu (Binghamton University),
     G. Williamson (University of Sydney),
     W. Zheng (Morningside Center of Mathematics)

Organising Committee:

     A. Abbes (CNRS & IHÉS),
     S. Bloch (University of Chicago),
     L. Illusie (Université Paris-Sud),
     B. Mazur (Harvard)

Organized in partnership with 

Many interesting strongly interacting Quantum Field Theories are not amenable to analytical treatment. This workshop will focus on systematic numerical approaches to such theories relying on the quantum Hamiltonian, including Truncated Spectrum Approach, Light Front Quantization, Matrix Product States and Tensor Networks. Such methods provide a viable alternative to Lattice Monte Carlo simulations. Their advantage is the ability to access real-time observables, and to study Renormalization Group flows originating from strongly-interacting fixed points.

 

 

Speakers and talks:

Mari Carmen BANULS (MPI Quantum Optics, Garching)
Tensor network applications to (1+1)d gauge theories

Giuseppe CARLEO (ETH Zurich)
Neural-network quantum states

Sophia CHABYSHEVA (University of Minnesota Duluth)
Application of Light-Front methods to model theories   

Philippe CORBOZ (University of Amsterdam)
Simulation of 2D strongly correlated systems with infinite projected entangled-pair states

Joan ELIAS-MIRÓ  (SISSA, Trieste)
Precise calculations with the Renormalized Hamiltonian Truncation approach

Brian HENNING (Yale University)
Free field states and conformal bases

John HILLER (University of Minnesota Duluth)
Nonperturbative light-front methods

Andrew JAMES (University College London)
Truncated spectrum approaches for 2D many-body quantum systems

Andreas LÄUCHLI (University of Innsbruck)
Numerical Hamiltonian truncation approach to the phi^4 theory in 1+1d and beyond

Giuseppe MUSSARDO (SISSA, Trieste) 
Sinh-Gordon model and its duality

Didier POILBLANC (CNRS Toulouse)
Investigation of the chiral antiferromagnetic Heisenberg model using PEPS

Frank POLLMANN (TUM Munich)
Finding purifications with minimal entanglement

Neil ROBINSON (University of Amsterdam)
Rare non-thermal states in the non-integrable Ising field theory

Marco SERONE (SISSA, Trieste)
A look at phi^4_2 using perturbation theory

Gábor TAKÁCS (Budapest University of Technology and Economics)
Applications of TCSA to quenches

Guifré VIDAL (Perimeter Institute, Waterloo)
Conformal data from critical spin chains using periodic MPS and the Koo-Saleur formula

Karel VAN ACOLEYEN (University of Gent)
Tensor networks and the Schwinger model

Matthew WALTERS (CERN) 
Studying RG Flows with Lightcone Conformal Truncation

Program:

 
Mon Jan 8
Tue Jan 9
Wed Jan 10
Thu Jan 11
Fri Jan 12

9:30-11:00
morning coffee and
registration
morning coffee
morning coffee
morning coffee
morning coffee

 
TCSA session 1

MPS for gauge theories

 
lightfront day
TCSA session 2

10:00-11:00
Takacs
Van Acoleyen
Serone
Hiller
James

11:00-11:30
coffee break
coffee break
coffee break
coffee break
coffee break

11:30-12:30
Mussardo
Banuls
Vidal
Chabysheva
Robinson

12:30-14:30
lunch buffet
lunch buffet
lunch buffet
lunch buffet
lunch buffet

 
 
(phi^4)_2 session
PEPS session
 
 

14:30-15:30
Carleo
Elias-Miro
Corboz
Walters
 

15:30-16:30
coffee break
coffee break
coffee break
coffee break
free afternoon

16:30-17:30
Pollmann
Läuchli
Poilblanc
Henning
 

 
 
17:30 cocktail party
 
 
 

The talks have been recorded and are available at:

 Organisers:

   Ami KATZ (Boston University)
   Robert KONIK (Brookhaven National Laboratory)
   Slava RYCHKOV (IHES and ENS)
   Balt VAN REES (Durham University)

Supported by: the Simons Collaboration on the Non-perturbative Bootstrap http://bootstrapcollaboration.com/