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: August 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)
 

Fuzzy Sphere Meets Conformal Bootstrap 2025

Since 2023, the fuzzy sphere regulator has become a valuable tool in analyzing 2+1D (quantum) phases transitions and comparing with CFT. After the first edition of the « Fuzzy Sphere Meets Conformal Bootstrap » workshop at the SCGP, Stony Brook (link to https://scgp.stonybrook.edu/archives/41863), this second meeting will bring together condensed matter and high energy physicists working on numerical methods, conformal field theory, and related areas.
For its second edition, the Fuzzy Sphere Meets Conformal Bootstrap workshop, organized by Emilie Huffman (Perimeter Institute), Slava Rychkov (IHES), Yin-Chen He (YITP, Stony Brook University), Liam Fitzpatrick (Boston University) will take place on June 2-6, 2025.
This workshop is supported by the Simons Collaboration on the Non-Perturbative Bootstrap
 

12e séminaire ITZYKSON : Problèmes spectraux quantiques en physique mathématique

Le 12e séminaire Itzykson est organisé par Sylvain Ribault (IPhT Saclay) et Pierre Vanhove (IPhT Saclay). 
Depuis une dizaine d’années l’axe math-physique de la FMJH organise un séminaire Itzykson tous les ans à l’IHES. Il s’agit d’une journée consacrée à un thème de physique mathématique, avec un cours en français et deux ou trois exposés spécialisés en français ou en anglais.
Le prochain Séminaire Itzykson portera sur des progrès récents spectaculaires sur les relations entre des problèmes spectraux quantiques et des problèmes de physique mathématique. Ces progrès conduisent à des résultats exacts pour la théorie spectrale de nouvelles familles d’équations différentielles et d’équations aux différences. 
Un cours et deux exposés auront lieu dans la journée, présentés par : 

Alba Grassi, Université de Genève
Yilber Fabian Bautista, IPhT Saclay
Alessandro Tanzini, SISSA Trieste

L’inscription est gratuite mais nécessaire et sera possible jusqu’au 20 novembre 2024. Un buffet-déjeuner sera offert aux participants qui s’y seront inscrits. Le séminaire sera filmé et diffusé en différé sur la chaîne YouTube de l’IHES.

The Summer School will be held at IHES from  June 23 to July 4, 2025. 
The summer school is a StatPhys29 satellite event
2025 IHES Summer School – Statistical Aspects of Nonlinear Physics
Statistical mechanics, non linear physics and mathematics have often progressed hand in hand, mutually enriching themselves by exchanging key questions and methods. This summer school will be organized around these interactions, with the aim of deepening them and extending them to current research questions. We have identified four active and quickly advancing topics : Random interfaces, Disordered landscapes and AI, Long-range interactions, and Active matter. Each one will be addressed simultaneously by two internationally renowned lecturers, a physicist and a mathematician. This original set-up for the summer school organization will provide two different points of view on the same topic and the tools to bridge them. We aim to bring together attendees from physics and mathematics, to provide them with opportunities to broaden their perspectives, from experimental physics to theoretical physics and mathematics, and to expand their scientific network.
Four courses given jointly by a physicist and a mathematician on the following themes :

Collective behavior: from crowd movements to active matter : Bertrand MAURY (LMO) & Julien TAILLEUR (MIT)
Disorder Landscapes, out of equilibrium dynamics and AI: Gérard BEN AROUS (New York University) & Giulio BIROLI (LPENS)
Long-range interactions: Satya N. MAJUMDAR (LPTMS) & Sylvia SERFATY (Sorbonne Université and Courant Institute of Mathematical Sciences)
Random interfaces: Ivan CORWIN (Columbia University) & Kazumasa TAKEUCHI (The University of Tokyo)

This summer school is open to everybody. Priority will be given to PhD students and postdoctoral fellows but applications from more senior researchers are also welcome.
The courses are designed for a mixed audience of physicists and mathematicians. The aim is to provide an introduction to a wide range of topics, and to help students develop their skills and knowledge. 
Deadline for applications: February 23, 2025 

2025 IHES SUMMER SCHOOL

Theme: Recent rigidity results for discrete subgroups of Lie groups and their actions on manifolds, at the intersection of dynamics with Lie theory and geometry. 
The Summer School will be held at the Institut des Hautes Études Scientifiques (IHES) from July 7-18, 2025. IHES is located in Bures-sur-Yvette, south of Paris (40 minutes by train from Paris) – Access map

Recently there has been remarkable progress on several important problems broadly centered around the study of discrete subgroups of Lie groups. The primary goal of this summer school is to allow young reseachers to come together and learn about a number of these exciting developments. 
Activities will be centered around lecture series by established experts known both for their strong contributions to the field and for the high quality of their mathematical exposition. We also plan to foster an environment where these young mathematicians are able to learn from each other and have opportunities to begin new collaborations that will drive the future of the subject.
The programme of the school will consist of nine mini-courses each ranging between 3 to 5 hours of lecture, and will include evening problem sessions.
Organizing Committee/Scientific Committe: David Fisher (Rice University), Fanny Kassel (CNRS & IHES), Ralf Spatzier (University of Michigan) and Matthew Stover (Temple University).
This school is open to everybody but intended primarily for young participants, including Ph.D. students and postdoctoral fellows. 
Application is open until March 16, 2025

Mini-courses speakers:

Simion Filip, University of Chicago

Homin Lee, Northwestern University

Sam Mellick, Jagiellonian University and Amanda Wilkens, Carnegie Mellon University 

Daniel Monclair, Université Paris-Saclay

Maria Beatrice Pozzetti, Universitá di Bologna

Roman Sauer, Karlsruher Institut für Technologie
Barbara Schapira, IMAG, Université de Montpellier
Antoine Song, California Institute of Technology
Nattalie Tamam, Imperial College London

This is an IHES Summer School organized in partnership with the following institutions and sponsors:

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)