A Conference in Arithmetic Algebraic Geometry in Memory of Jan Nekovář

Arithmetic Algebraic GeometryJan Nekovář was a mathematician who worked and has made many significant and seminal contributions to algebraic geometry. He left us prematurely in November 2022. Here is a tribute note (in French) by Pierre Colmez.In his memory, Anna Cadoret, IMJ-PRG, Wiesława Nizioł, IMJ-PRG, and Sarah Zerbes, ETH Zürich, organize a conference in arithmetic algebraic geometry at IHES from October 9th to 13th, 2023.This is an international conference in arithmetic geometry, aimed at covering some of the most recent advances in the field with a focus on the areas Jan Nekovář was interested in. Invited Speakers:Tomoyuki Abe, IPMU – University of Tokyo  Spencer Bloch, University of Chicago  Ana Caraiani, Imperial College London – University of BonnHenri  Darmon, McGill University  Vesselin Dimitrov, Institute for Advanced Studies  Matthew  Emerton, University of Chicago  Veronika  Ertl, Universitat Regensburg  Hélène Esnault, Frei Universität Berlin  Olivier Fouquet, Université de Franche-Comté Alexander Goncharov, Yale University  Giada Grossi, CNRS, Université Sorbonne Paris Nord      Jie Lin, Universität Duisburg-Essen  David  Loeffler, University of Warwick   Akhil Mathew, University of Chicago   James Newton, University of Oxford  Alexander Petrov, Harvard University  Alena Pirutka, New York University  Tony Scholl, University of Cambridge   Yunqing Tang, University of California – Berkeley  Jacob Tsimerman, University of Toronto    IHES thanks all the donors of the 2021 Friends of IHES Gala for making this conference possible.

1923-2023, Centenaire de René Thom

À l’occasion du centenaire de la naissance de René Thom, l’IHES organise trois jours de conférence les 20, 21 et 22 septembre 2023. Conférenciers invités : Norbert A’Campo, Univ. De BâleDaniel Bennequin, Institut Mathématique de Jussieu (IMJ-PRG)Alain Chenciner, IMCCE/Observatoire de Paris Antoine Danchin, Institut Pasteur                     Ivar Ekeland, Université Paris-DauphineSara Franceschelli, ENS LyonEmmanuel Giroux, CNRS et ENSMikhail Gromov, IHESKrzysztof Kurdyka, Université Savoie Mont BlancCherif Matta, Mount Saint Vincent University, Halifax, CanadaJean Petitot, EHESSOscar Randal-Williams, Université de CambridgeAna Rechtman, Université Grenoble-AlpesDennis Sullivan, City University of New York, Graduate Center                       Bernard Teissier, IMJ-PRGWolfgang Wildgen, Université de BrêmeComité scientifique : Marie-Claude Arnaud, IMJ-PRG, Marc Chaperon, IMJ-PRG, coordinateur, Antoine Danchin, Institut Pasteur, Yakov Eliashberg, Stanford University, Maxim Kontsevich, IHES, Cédric Villani, Université Lyon I & IHESComité d’organisation : Jean-Pierre Bourguignon, IHESRené Thom (1923-2002)Professeur permanent à l’IHES de 1963 à 1990René Thom a couvert un champ scientifique immense : d’abord en ouvrant des champs nouveaux en topologie, cette branche des mathématiques qui s’intéresse aux formes à déformation près, et dans l’étude de la dynamique. Il a ensuite créé une « mathématique de la morphogenèse », proposant des modèles pour la biologie et aussi pour les sciences humaines.Ces proposi­tions, souvent regroupées sous le nom de « théorie des catastrophes », ont quelque fois été controversées. René Thom a consacré la suite de sa vie scientifique à l’étude de la biologie théorique et surtout à la philosophie aristotélicienne.

Wall-Crossing Structures, Analyticity, and Resurgence

“Wall-Crossing Structures, Analyticity, and Resurgence”,  a mini-school organized by Maxim Kontsevich and Yan Soibelman This conference is organized by Maxim Kontsevich (IHES), and Yan Soibelman (Kansas State University).The main emphasis will be on the new approach to resurgent series via analytic wall-crossing structures (an alternative to the traditional alien calculus), as well as the detailed study of examples coming from quantum Chern-Simons theory, WKB expansions and, more generally, holomorphic Floer theory.The program includes 3 mini-courses, given by:Jørgen E. Andersen (SDU)Maxim Kontsevich (IHES)Yan Soibelman (Kansas State University)and research presentations, given by:Philip Boalch (IMJ-PRG)Pierrick Bousseau (University of Georgia)Veronica Fantini (IHES)Segei Gukov (Caltech)Lotte Hollands (Heriot Watt University)Kohei Iwaki (The University of Tokyo)Marcos Mariño (University of Geneva)William Mistegård (SDU)David Sauzin (Observatoire de Paris-Meudon)Campbell Wheeler (MPI Bonn)

A Multiscale tour of Harmonic Analysis and Machine Learning

A Multiscale tour of Harmonic Analysis and Machine LearningTo Celebrate Stéphane Mallat’s 60th birthdayStéphane Mallat, professor at the Collège de France in data science, will be honored during a three-day workshop, April 19-21, 2023, organized by Joan Bruna, New York Univ., and Gabriel Peyré, CNRS-ENS, on the occasion of his 60th birthday. The purpose of this meeting is to bring together some of the characters of Data Analysis and Machine Learning, past, present, and future – and to celebrate the 60th birthday of a leading one, Stéphane Mallat, professor at Collège de France.His journey through Harmonic Analysis, Machine Learning, and Physics has profoundly influenced how these areas have evolved and blended together, and are now breaking new ground in our theoretical understanding of modern data analysis.Speakers:Akram Aldroubi, VanderbiltFrancis Bach, INRIARichard Baraniuk, RiceFreddy Bruckstein, TechnionEmmanuel Candès, StanfordMaureen Clerc, INRIAMaarten De Hoop, RiceDave Donoho, StanfordMichael Elad, TechnionRémi Gribonval, INRIAStéphane Jaffard, CréteilJérôme Kalifa, Let it CareHamid Krim, North Carolina State UniversityGitta Kutyniok, MünchenYann LeCun, New York University, and MetaEric Moulines, PolytechniqueEdouard Oyallon, CNRS and SorbonneNaoki Saito, UC DavisGuillermo Sapiro, DukeShihab Shamma, MarylandEero Simoncelli, New York UniversityJean-Jacques Slotine, MITMichael Unser, EPFLMartin Vetterli, EPFLIrène Waldspurger, CNRS and DauphineBin Yu, Berkeley 

Advances in Nonlinear Analysis and Nonlinear Waves, a conference in honor of Frank Merle

Advances in Nonlinear Analysis and Nonlinear WavesFrank Merle, a mathematician, and holder of the Université de Cergy-Pontoise – IHES Chair in Analysis has made many important and seminal contributions to the qualitative study of solutions of nonlinear partial differential equations coming from Physics. Merle’s work has been pioneering in the sharp analysis of blowup solutions, and the collision of solitons, as well as in the soliton resolution conjecture. His groundbreaking works have been very influential in the field and beyond.Throughout his career, Frank Merle received many distinctions, including:ICM Invited Speaker (1998)Bôcher Memorial Prize – American Mathematical Society (2005)Silver Medal – Centre National de la Recherche Scientifique (2005)ERC Advanced Grant « Blow-up, Dispersion and Solitons » (2011)ICM Plenary Speaker (2014)Grand prix Ampère de l’électricité de France – French Academy of Sciences (2018)Member of the Academia Europaea (2020)The scientific objective of the conference is twofold. First, several experts in the field of dispersive and wave equations will present their recent advances. A second objective is to propose some conferences in analysis beyond the field of dispersive PDEs. The Scientific Committee hopes that all talks will be accessible to a general audience in analysis.Scientific Committee: M. Dafermos, A.-L. Dalibard, H. Duminil-Copin, T. Duyckaerts, E. Hebey, Y. Martel, G. Ponce, P. Raphaël, L. Saint-Raymond et H. ZaagOrganising Committee: C. Collot, R. Côte, F. Demengel, T. Duyckaerts, J. Jendrej, Y. Lan, E. Logak, Y. Martel, C. Muñoz, P. Raphaël, J. Szeftel, N. Tzvetkov et H. ZaagInvited Speakers:Henri Berestycki, EHESSNicolas Burq, Université de Paris-SaclaySimon Brendle, Columbia UniversityMaria Colombo, EPFLCamillo De Lellis, IASThierry Giamarchi, Université de GenèveFrançois Golse, École polytechniqueOana Ivanovici, CNRS & Sorbonne UniversitéCarlos Kenig, University of ChicagoSergiu Klainerman, Princeton UniversityPierre-Louis Lions, Collège de FranceNader Masmoudi, NYUHiroshi Matano, Meiji UniversityAndrea Nahmod, University of MassachusettsFelix Otto, Max-Planck Institut fur MathematikPierre Raphaël, University of CambridgeIgor Rodnianski, Princeton UniversityWilhelm Schlag, Yale UniversitySylvia Serfaty, NYUDaniel Tataru, UC BerkeleyLuis Vega, BCAMSijue Wu, University of MichiganThis event will be held at IHES, Bures-sur-Yvette, and at CY Advanced Studies, and is open to all.Registration is free and open until April 21, 2022.

8e Journée Statistique et Informatique pour la Science des Données à Paris-Saclay

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 1, 2023.Organizers: Gilles Blanchard (LMO/Université Paris-Saclay)Florence Tupin (LTCI/Télécom Paris)Invited speakers:Isabelle Bloch (LIP6/Sorbonne Université – LTCI/Télécom Paris)Antoine Cornuéjols (MIA/AgroParisTech)Aymeric Dieuleveut (CMAP/École polytechnique)Elisabeth Gassiat (LMO/Université Paris-Saclay)Mohammed Nabil El Korso (L2S/CentraleSupélec)Mathilde Mougeot (ENSIIE & Centre Borelli/ENS Paris-Saclay)

Arbre de Noël du GDR « Géométrie non-commutative »

Arbre de Noël du GDR »Géométrie non-commutative »La géométrie non-commutative, fondée par Alain Connes, est un domaine de recherche important des mathématiques actuelles. Le GDR « Géométrie Non-commutative » du CNRS regroupe l’ensemble des chercheurs français travaillant sur des thématiques en lien avec ce domaine. L’arbre de Noël, organisé par Amaury Freslon (LMO – Université Paris-Saclay) et co-organisé par Maria-Paula Gomez-Aparicio (Université Paris-Saclay), est la rencontre annuelle de ce GDR. La parole y est donnée aux jeunes chercheurs du domaine, doctorants et post-doctorants, qui peuvent ainsi présenter leurs travaux à la communauté. Quelques exposés de chercheurs confirmés complètent cette rencontre en offrant un panorama des évolutions actuelles.Conférenciers invités :Benjamin Anderson-Sackaney, Université de Caen-NormandieSara Azzali, Università di BariLéonard Cadilhac, Sorbonne UniversitéPurbayan Chakraborty, Université de Bourgogne-Franche-ComtéAlain Connes, IHESClément Dell’Aiera, ENS LyonAmine Marrakchi, ENS LyonPaul Meunier, KU LeuvenGilles Pisier, Sorbonne Université – Texas A&M UniversityArthur Troupel, Université Paris-CitéZhenguo Wei, Université de Bourgogne-Franche-ComtéXu Zhendong, Université de Bourgogne-Franche-ComtéKai Zeng, Université de Bourgogne-Franche-Comté

Combinatorics and Arithmetic for Physics: Special Days

Combinatorics and Arithmetic for Physics: special daysThe meeting’s focus is on questions of discrete mathematics and number theory with an emphasis on 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.Organised by : Gérard H. E. DUCHAMP, Maxim KONTSEVICH, Gleb KOSHEVOY, Sergei NECHAEV, and Karol A. PENSON.Speakers:Cyril Banderier (CNRS, Univ. Paris Nord) Nicolas Behr (CNRS, Université Paris Cité, IRIF) Gérard H. E. Duchamp (LIPN, Université Paris Nord) Vladimir Fock (Strasbourg Univ.)Nihar Gargava (EPFL, Cambridge)Volker Genz (IBS CGP)Sasha Gorsky (IITP RAS) Darij Grinberg (Drexel University) Dimitry Gurevich (IITP, Moscou) Béa de Laporte (University of Cologne)Richard Kerner (LPTMC, Sorbonne Univ.) Maxim Kontsevich (IHES) Paul-André Melliès (CNRS, Université Paris Cité, IRIF) Frédéric Patras (CNRS, Univ. Côte d’Azur) Karol A. Penson (LPTMC, Sorbonne Univ.) Travis Scrimshaw (Hokkaido University) Thomas Simon (Laboratoire Paul Painlevé, Univ. Lille) Lauren Williams (Harvard University) Sergey Yurkevich (Univ. of Vienna & INRIA)Sponsors: IHESLPTMC (Univ. Paris 6)LIPN UMR CNRS-7030I.S.C.P. (UMI 2615 CNRS)

Homogeneous Dynamics and Geometry in Higher-Rank Lie Groups

Homogeneous Dynamics and Geometry in Higher-Rank Lie Groups   The goal of the workshop is to explore links between homogeneous dynamics and recent developments on infinite-covolume discrete subgroups of Lie groups, including images of Anosov representations and generalizations. There will be three minicourses and a dozen research talks. This workshop is organized by Martin Bridgeman (Boston College), Richard Canary (University of Michigan), Fanny Kassel (CNRS & IHES), Hee Oh (Yale University), Maria Beatrice Pozzetti (Universität Heidelberg), and Jean-François Quint (CNRS & Université de Bordeaux).Minicourses: Jean-François Quint (CNRS & Université de Bordeaux) – “Dynamics on Higher-rank Lie Groups” [3h] Tengren Zhang (National University of Singapore) – “Anosov Representations” [3h]Andrés Sambarino (CNRS & IMJ-PRG) & Minju Lee (University of Chicago) – “Recent Developments” [2+2h]Research Talks:Pierre-Louis Blayac (University of Michigan) León Carvajales (Universidad de la Republica, Montevideo) Nguyen-Thi Dang (Université Paris-Saclay) Sam Edwards (Durham University) François Labourie (Université Côte d’Azur) Sara Maloni (University of Virginia) Giuseppe Martone (Yale University) Wenyu Pan (University of Toronto) Rafael Potrie (Universidad de la Republica, Montevideo) Pratyush Sarkar (UC San Diego) Andrew Zimmer (University of Wisconsin, Madison)      

Workshop Schlumberger : Types dépendants et Formalisation des mathématiques

Workshop Schlumberger :
Types dépendants et Formalisation des mathématiques

Le formalisme du lambda-calcul typé et des types dépendants fournit un système de notation non seulement pour les objets mathématiques (comme c’était le cas pour le formalisme utilisé par Bourbaki), mais également pour les preuves mathématiques. Ce formalisme est assez précis pour être représenté sur ordinateurs, et plusieurs systèmes interactifs de verification de preuves se fondent sur cette approche.

Ce sujet a connu ces 15 dernières  années des développements spectaculaires : des preuves non triviales ont ainsi été formalisées, comme celle du théorème des 4 couleurs, ou le théorème de Feit-Thompson, ou plus récemment, un lemme complexe de P. Scholze (liquid tensor experiment).

Dans une autre direction, un rapprochement inattendu entre ce formalisme et la notion de topos d’ordre supérieur a été mis en évidence.

Organisée par Thierry Coquand, titulaire de la chaire Schlumberger pour les sciences mathématiques à l’IHES, le but de ce cette journée est de faire le point sur ces développements récents, et d’explorer les limitations et possibilités de cette approche.

Conférenciers invités :

Benedikt Ahrens, Delft University of Technology
Anthony Bordg, University of Cambridge
Cyril Cohen, INRIA
Georges Gonthier, INRIA
Assia Mahboubi, INRIA
Patrick Massot, LMO, Université Paris-Saclay

Workshop on Quantum Geometry

Workshop on Quantum Geometry

The main topic of this conference will be some recent progress in enumerative geometry, emphasizing its connection with mathematical physics and quantization. There will be a mini-series of lectures by Pierrick Bousseau and Hülya Argüz on their recent work (also joint with Pandharipande-Zvonkine), together with research seminars by other early-career speakers working on similar topics.

This event will be held at IHES, Bures-sur-Yvette, and is open to all interested researchers. Ph.D. students and postdoctoral fellows are especially welcome to participate.

 

Registration is free and open until April 21, 2022.

Note that the conferences will take place from 2:00 pm to 6:00 pm every day.

Organised by : Veronica Fantini (IHES) & Alex Takeda (IHES)

Invited speakers:

Nezhla Aghaei (SDU/QM Center)
Hülya Argüz (IST Austria)
Anna Barbieri (University of Milano Statale)
Pierrick Bousseau (ETH Zurich)
Pierre Descombes (Sorbonne Université UPMC)
Maxime Fairon (University of Glasgow)
Elba Garcia-Failde (IMJ-PRG)
Alessandro Giacchetto (IPhT)
Oscar Kivinen (EPFL)
Joshua Lam (IHES)
Mingkun Liu (IMJ-PRG)
Riccardo Ontani (SISSA)
Gabriele Rembado (Hausdorff Centre for Mathematics, Bonn)
Alexander Soibelman (IHES)

Journée Statistique et Informatique pour la Science des Données à Paris Saclay

Note: The conference will be held entirely on video-conference

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.

Registration is free and open to January 20, 2022.

Organised by: Gilles Blanchard (LMO) and Charles Soussen (L2S)

Invited speakers:

Rémi Flamary (CMAP/Ecole polytechnique)
Isabelle Guyon (LISN/INRIA Tau)
Olga Klopp (CREST/ESSEC business school)
Thomas Moreau (INRIA Paris-Saclay)
Pablo Piantanida (L2S/CentraleSupélec)
Florence Tupin (LTCI/Télécom Paris)