The goal of this conference is to advance the dialogue and interactions between the LLM community and the larger world of mathematics in order to further the mathematical understanding of LLMs and contribute to solving some of the outstanding problems in the new field of LLMs.
 
In particular we intend to investigate mathematical structures that can be used to understand LLMs in terms of what they implicitly learn and how. 
 
At the same time, in the opposite direction the use of LLMs in order to do mathematics will be investigated.
 
Registration is free and open until May 15, 2025.
Invited speakers:Katie Collins (Cambridge University)Yann Fleureau (Numina)Fabian Glöckle (Ecole Nationale des Ponts et Chaussées & FAIR at Meta, Paris)Javier Gómez-Serrano (Brown University)Timothy Gowers (Collège de France)Yann Ollivier (FAIR at Meta, Paris)Frieder Simon (Oxford University)
Organizers: François Charton (Meta AI Research), Michael Douglas (Harvard University & IHES), Amaury Hayat (CERMICS) & Yiannis Vlassopoulos (Athena Research Center & IHES)
 

New Structures and Techniques in p-adic Geometry        October 27-31, 2025 at IHES – Marilyn and James Simons Conference Center    How to get to IHES

In recent years, p-adic geometry has benefited from several new ideas. The goal of this conference is to invite experts to give lectures explaining some of these ideas and their uses.  The main themes are: motivic methods, categorical p-adic Langlands, and Igusa stacks.  Besides these mini-courses, there will also be some individual lectures by selected participants.
 Registration deadline: June 30, 2025
Speakers:

Ana Caraiani (Imperial College London)
Eugen Hellmann (Universität Münster)
Arthur-César Le Bras (Université de Strasbourg)
Timo Richarz (TU Darmstadt)
Alberto Vezzani (Università degli Studi di Milano)
Mingjia Zhang (IAS, Princeton)
Plus additional talks by selected participants

Organizing committee:     Dustin Clausen (IHES), Toby Gee (Imperial College London), Wiesława Nizioł (IMJ-PRG)
This conference is supported by the Simons Collaboration on Perfection in algebra, geometry, and topology

The aim of this workshop is to bring together mathematicians and computer scientists around some talks on recent results from statistics, machine learning, and more generally data science research. Various topics in machine learning, optimization, deep learning, optimal transport, fairness, statistics will be presented. This workshop is particularly intended for doctoral and post-doctoral researchers.
 
Registration is free and open until March 25, 2025.
Invited speakers:Anne Auger (Inria Saclay)Etienne Boursier (Inria, Université Paris-Saclay)Solenne Gaucher (École polytechnique)Charlotte Laclau (Télécom Paris)Arshak Minasyan (CentraleSupélec)Nicolas Vayatis (ENS Paris-Saclay)
Organizers: Evgenii Chzhen (Laboratoire de Mathématiques d’Orsay, Université Paris-Saclay)Erwan Le Pennec (École polytechnique)

Arithmetic and Diophantine Geometry, via Ergodic Theory and o-minimality    A Conference in Honor of Emmanuel Ullmo’s 60th Birthday    September 8-12 2025 at IHES – Marilyn and James Simons Conference Center    How to get to IHES

This conference aims to honor the spectacular contributions of Emmanuel Ullmo to arithmetic geometry and centers around his mathematical contributions and interests. It will cover and highlight recent stage of development on topics such as Diophantine geometry, ergodic theory, Hodge theory, and arithmetic dynamics.
 Registration deadline: May 31, 2025
Speakers:

Fabrizio Andreatta (Univ. degli Studi di Milano)
Uri Bader (Weizmann Inst. & Univ. of Maryland)
Benjamin Bakker (Univ. of Illinois, Chicago)
Gregorio Baldi (CNRS, IMJ-PRG)
Yves Benoist (CNRS, Univ. Paris-Saclay)
Anna Cadoret (IMJ-PRG, Sorbonne Univ.)
François Charles (ENS Paris)
Laura DeMarco (Harvard Univ.)
David Fisher (Rice Univ.)
Javier Fresán (IMJ-PRG, Sorbonne Univ.)
Philipp Habegger (Univ. of Basel)
Philippe Michel (EPFL)
Hee Oh (Yale Univ.)
Naomi Sweeting (Princeton Univ.)
Yunqing Tang (Caltech & UC Berkeley)
David Urbanik (IHES)
Xinyi Yuan (BICMR, Peking Univ.)
Mingjia Zhang (IAS & Princeton Univ.)
Shouwu Zhang (Princeton Univ.)
Wei Zhang (MIT)

 
Organizing committee:     Ahmed Abbes (CNRS, IHES), Jennifer Balakrishnan (Boston Univ.), Ziyang Gao (UCLA), Marc Hindry (Univ. Paris-Cité), Fanny Kassel (CNRS, IHES), Bruno Klingler (Univ. Humboldt zu Berlin), Yuri Tschinkel (NYU and Simons Foundation)
 

Combinatorics and Arithmetic for PhysicsThe meeting focuses on questions of discrete mathematics and number theory, emphasizing computability. Problems are drawn mainly from theoretical physics: renormalization, combinatorial physics, geometry, evolution equations (commutative and noncommutative), or related to its models, but not only. Computations, based on combinatorial structures (graphs, trees, words, automata, semirings, bases), or classical structures (operators, Hopf algebras, evolution equations, special functions, categories) are good candidates for computer-based implementation and experimentation.
Organized by: Gérard H. E. DUCHAMP, Maxim KONTSEVICH, Gleb KOSHEVOY, Sergei NECHAEV, and Karol A. PENSON.
Speakers:

Nicolas Behr, CNRS, Université de Paris, IRIF
Joseph Ben Geloun, LIPN-Paris XIII
Lara Bossinger, IM UNAM, Oaxaca & IAS, Princeton
Marek Bozejko, Wroclaw University
Stéphane Dartois, Université Paris Saclay, CEA
Jehanne Dousse, Université de Genève
Gérard H.E. Duchamp, LIPN, Université Paris Nord
Vladimir Fock, IRMA, Strasbourg
Darij Grinberg, Drexel University
Dimitry Gurevich, IITP, Moscow
Yuki Kanakubo, Ibaraki University
Arthemy Kiselev, University of Groningen
Maxim Kontsevich, IHES
Gleb Koshevoy, IITP, Moscow
Toshiki Nakashima, Sophia University Tokyo
Mohamed Ouerfelli, Université Paris Saclay, CEA
Karol A. Penson, LPTMC, Sorbonne Université
Gleb Pogudin, LIX, Ecole polytechnique
Markus Reineke, Ruhr University Bochum
Ioannis Vlassopoulos, Athena Research Center
 

Sponsors: IHES – Math-STIC – LIPN (UMR-7030) – LPTMC (Univ-Paris 6) –  IJCLab, UMR Paris-Saclay/CNRS – INRIA – GDR EFI – CEA
Scientific Committee:Joseph Ben Geloun (LIPN-Paris XIII), Alin Bostan (INRIA), Marek Bozejko (Wroclaw University), Vincent Rivasseau (Orsay-CEA), Pierre Simonnet (Univ. Corse)

Representations, Probability, and Beyond: A Journey into Anatoly Vershik’s World Workshop in memory of A.M. Vershik
November 18-19, 2024, Mikhail Gromov (IHES & NYU), Sergei Nechaev (LPTMS Paris-Saclay) and Volodya Rubtsov (Univ. Angers) organize a two-day workshop devoted to the memory of Anatoly Vershik, who passed away earlier this year.
Anatoly Vershik (1933-2024) was a Russian mathematician who made important contributions in several fields of mathematics. In particular, he is renowned for his joint work with Sergei V. Kerov on the theory of representations of infinite symmetric groups and on applications of the longest strictly increasing subsuite problem in group theory. 
 
 
Invited Speakers:

Alexander BARVINOK (Univ. of Michigan)
Alexey BORODIN (MIT)
Alexander CHERVOV (Institut Curie)
Anna ERSCHLER (Sorbonne Univ.)
Sergey FOMIN (Univ. of Michigan)
Mikhail GROMOV (IHES & NYU)
Vadim KAIMANOVICH (Univ. of Ottawa)
Andrey MALYUTIN (St. Petersburg State Univ.)
Tatiana NAGNIBEDA (Univ. Genève)
Sergei NECHAEV (LPTMS Paris-Saclay)
Andrey OKOUNKOV (Princeton Univ.)
Grigorii OLSHANSKII (IITP, Moscow)
Leonid PASTUR (King’s College London)
Fyodor PETROV (St. Petersburg State Univ.)
Volodya RUBTSOV (Univ. d’Angers)
Natalia TSILEVICH (Bar Ilan University)

 

Mathematics on the Crossroad of Centuries    A Conference in Honor of Maxim Kontsevich’s 60th Birthday    September 16-20 2024    at IHES – Marilyn and James Simons Conference Center    How to get to IHES

The  work of Maxim Kontsevich, Permanent Professor at IHES since 1995, and holder of the AXA-IHES Chair for Mathematics, has been a unique combination of spectacular ideas in algebra, combinatorics, topology, algebraic geometry, and theoretical physics. 
No other mathematician has played such a pivotal role in enhancing the interaction of mathematics and physics on the crossroad of 20th and 21st centuries. 
In this week-long meeting we will be celebrating the 60th birthday of Maxim Kontsevich and his profound influence on mathematics.
Registrations are closed but talks can be followed online on Zoom: https://us02web.zoom.us/webinar/register/WN_d2PEiUS9Q9imvBtm4Y0Wzg
Speakers:

Mohammed Abouzaid, Stanford University
Mina Aganagić, UC Berkeley
Jørgen Andersen, Odense University
Denis Auroux, Harvard University 
Tom Bridgeland, University of Sheffield 
Vladimir Drinfeld, University of Chicago 
Pavel Etingof, MIT 
Kenji Fukaya, SCGP 
Davide Gaiotto, Perimeter Institute
Alexander Goncharov, Yale University 
Fabian Haiden, Syddansk Odense University 
Mikhail Kapranov, IPMU 
Curtis McMullen, Harvard University 
Takuro Mochizuki, RIMS, Kyoto University 
Alexander Odesskii, Brock University 
Tony Pantev, University of Pennsylvania 
John Pardon, SCGP 
Yan Soibelman, Kansas State Univ. & IHES 
Yuri Tschinkel, SCGP & New York University 
Lauren Williams, Harvard University 
Don Zagier, MPI Bonn & ICTP

Organizing committee:     Denis Auroux, Harvard University, Ludmil Katzarkov, University of Miami, Tony Pantev, University of Pennsylvania, Yan Soibelman, Kansas State Univ. & IHES, Yuri Tschinkel, SCGP & New York University
 

The study of (large) systems of interacting particles in mathematics is a subject with multiple applications that can be approached from a wide variety of viewpoints and methods. The aim of this day is to bring together young researchers working on similar objects with different tools to discuss and compare methods. It will feature five long presentations discussing recent advances while retaining an introductory focus.Registration is free and open until May 30, 2024.Invited speakers:Thomas Cavallazzi (CentraleSupélec, Paris-Saclay)Louis-Pierre Chaintron (DMA, ENS)Antonin Chodron de Courcel (IHES)Rodrigue Lelotte (CERMICS, ENPC)Sonia Velasco (MAP5, Paris-Cité)Organizers: Laetitia Colombani (CMAP) & Pierre Le Bris (IHES)

The Seed seminar of mathematics and physics is a seminar series that aims to foster interactions between mathematicians and theoretical physicists, with both online and in-person events. It is holding a special day on Matrix models for quantum systems at IHES, with contributions from Guillaume Aubrun, Philippe Biane, Bertrand Eynard and Vladimir Kazakov. Registration is free and open until May 31, 2024.Invited speakers:Guillaume Aubrun (Institut Camille Jordan, Lyon)Philippe Biane (Laboratoire d’Informatique Gaspard Monge, Marne-la-Vallée)Bertrand Eynard (Institut de Physique Théorique, CEA Saclay)Vladimir Kazakov (Laboratoire de Physique de l’École Normale Supérieure, Paris)Scientific Committee: Thierry Bodineau ( IHES)Slava Rychkov (IHES)Organizing Committee: Ariane Carrance (CMAP)Matteo D’Achille (LMO)Edoardo Lauria (LPENS)

The goal of this conference is to advance the dialogue and interactions between the LLM community and the larger world of mathematics in order to further the mathematical understanding of LLMs and contribute to solving some of the outstanding problems in the new field of LLMs. In particular we intend to investigate mathematical structures that can be used to understand LLMs in terms of what they implicitly learn and how.  At the same time, in the opposite direction the use of LLMs in order to do mathematics will be investigated. Registration is free and open until May 16, 2024.Invited speakers:François Charton (Meta AI Research)Andrew Dudzik (Google DeepMind)Amaury Hayat (École des Ponts ParisTech & CERMICS)Julia Kempe (NYU Center for Data Science & CIMS)Gabriel Synnaeve (Meta AI Research)Yiannis Vlassopoulos (Athena Research Center & IHES)Organizers: François Charton (Meta AI Research), Michael Douglas (Harvard University & IHES) & Yiannis Vlassopoulos (Athena Research Center & IHES) 

Albert Schwarz started as a topologist/geometer in the early ’50s, then in the ’70s he began an exploration of mathematical aspects of quantum field theory and made numerous seminal contributions to this subject. He has been a regular visitor to IHES since 1995 and was involved in many significant collaborations. This May he will give a short course on his recent research. The mini-conference is a tribute to the 70th anniversary of Schwarz’s remarkable scientific career by several of his friends and colleagues. Registration is free and open until June 7, 2024.Invited speakers:Alain Connes (Collège de France & IHES)Anton Kapustin (Caltech)Maxim Kontsevich (IHES)Boris Pioline (LPTHE – Sorbonne Université)Albert Schwarz (University of California at Davis & IHES)Organizers: Anton Kapustin (Caltech) & Maxim Kontsevich (IHES) 

The aim of this workshop is to bring together mathematicians and computer scientists around some talks on recent results from statistics, machine learning, and more generally data science research. Various topics in machine learning, optimization, deep learning, optimal transport, inverse problems, statistics, and problems of scientific reproducibility will be presented. This workshop is particularly intended for doctoral and post-doctoral researchers.Registration is free and open until March 27, 2024.Invited speakers:Stephan Clémençon (LTCI/Télécom Paris/Insitut Polytechnique de Paris)Luca Ganassali (LMO/Université Paris-Saclay)Marine Le Morvan (SODA/INRIA Saclay)Erwan Le Pennec (CMAP/École polytechnique)Gilles Stoltz (CNRS/LMO/Université Paris-Saclay)Maria Vakalopoulou (MICS/Centralesupélec)Organizers: Evgenii Chzhen (Laboratoire de Mathématiques d’Orsay, Université Paris-Saclay)Florence Tupin (LTCI/Télécom Paris)