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 Vincel Hoang Ngoc Minh

The conference will be held in a blended form, with talks given on site at IHES and others remotely through Zoom.

All the talks may be followed either online or on site.

Covid-19 regulations: for those who will attend in person, masks will be mandatory and we will ask them to provide a health pass upon their arrival.

Sponsors:

GDR Renorm

LIPN et FR Math-STIC (Univ-Paris 13)

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

Because of the current pandemic, we do not know exactly what form the conference will take. Two options are currently possible
– a fully online event.
– an hybrid event. In this configuration the conference will take place at the IHES, France. All the talks will be broadcast online

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A 3-day conference on recent developments in the geometry of groups with hyperbolic features, Kähler geometry, and their interactions. This event is also be the occasion to celebrate the 60th birthday of Thomas Delzant, whose contributions to these fields have had a large influence in the development of geometric group theory and the study of Kähler groups using hyperbolic techniques.

Updated information can be found on the web page of the conference

Organised by : Rémi Coulon, François Dahmani and Alexandre Martin

Confirmed speakers :
Goulnara Arzhantseva
Martin Bridson
Serge Cantat
Cornelia Drutu
Misha Gromov
Vincent Guirardel
Panagiotis Papasoglu
Pierre Py
Zlil Sela

 

 

A conference in honor of Thibault Damour

The conference will be held in a blended form, with talks given on site at IHES and others remotely through Zoom.

All the talks may be followed either online or on site (subject to availability).

Covid-19 regulations: for those who will attend in person, masks will be mandatory and we will ask them to provide a health pass upon their arrival.

Organized by Nathalie Deruelle (APC, Université de Paris), Alessandro Nagar (INFN Torino), and Slava Rychkov (IHES), the « Damour Fest: Adventures in Gravitation » will be held from October 12 to 15, 2021 at IHES.

 

Professor Thibault Damour is a permanent professor at IHES since 1989.
He is a theoretical physicist specializing in general relativity and string theory. He is known worldwide for his innovative work on black holes, gravitational waves, and quantum cosmology. Throughout his career, he has received numerous international awards, such as the prestigious Einstein Medal and the CNRS Gold Medal, and more recently (in 2021) the Galileo Galilei Medal, the ICTP Dirac medal, and the Balzan Prize. 

 

Invited speakers:

Leor Barack, University of Southampton
Sebastiano Bernuzzi, University of Jena
Lydia Bieri, Michigan University
Luc Blanchet, IAP, Paris
Alessandra Buonanno, AEI, MPI, Potsdam
Sophie De Buyl, Vrije Universiteit Brussel
Stanley Deser, Brandeis University
Marc Henneaux, Collège de France & ULB Bruxelles
Bala Iyer, ICTS, TIFR, Bangalore 
Piotr Jaranowski, University of Białystok
Sergiu Klainerman, Princeton University
Michael Kramer, MPI, Bonn
Juan Maldacena, IAS, Princeton
Viatcheslav Mukhanov, Ludwig Maximilian University, Munich
Hermann Nicolai, AEI, MPI, Potsdam
Adam Pound, University of Southampton
Giuseppe Policastro, ENS Paris
Alexander Polyakov, Princeton University
Manuel Rodrigues, ONERA, Université Paris-Saclay
Remo Ruffini, ICRA, Rome
David Shoemaker, MIT
Sergey Solodukhin, University of Tours
Alexei Starobinski, Landau Institute, Moscow
Gabriele Veneziano, CERN & Collège de France
Alex Vilenkin, Tufts University
Edward Witten, IAS, Princeton

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The conference will be held at IHES depending on the evolution of health situations and related restrictions.

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The conference “Large-scale Limits of Interacting Particle Systems”, organized by Mitia Duerinckx (CNRS), Sergio Simonella (CNRS), and Raphael Winter (École Normale Supérieure de Lyon), with the support of the CNRS-Momentum program, will take place from October 4 to 8 2021 and simultaneously on Zoom.

These five days will bring together researchers interested in rigorous methods for the study of scaling limits of interacting particle systems.

Mini-courses:

Mathieu Lewin (CNRS): “Mean-field Limits and Bose-Einstein Condensation for Quantum Gases“;
Laure Saint-Raymond (IHES): “Statistical Description of a Hard Sphere Gas Dynamics“;
Manfred Salmhofer (Institute for Theoretical Physics, Univ. of Heidelberg): “Diagrammatic Expansions and Renormalization in Quantum Dynamics”

Invited speakers:

Serena Cenatiempo (GSSI),
Charles Collot (Cergy Paris Université),
Sabine Jansen (LMU),
Jens Marklof (University of Bristol),
Alessia Nota (Università degli Studi dell’Aquila),
Peter Pickl (University of Munich),
Marcello Porta (SISSA),
Mario Pulvirenti (Università di Roma « La Sapienza »),
Nicolas Rougerie (UMPA),
Florian Theil (University of Warwick),
Bálint Tóth (University of Bristol).

Dedicated web page.

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

 

SÉMINAIRE GROTHENDIECK

Organisé par : L. Barbieri-Viale, F. Brown, D. Gaitsgory et L. Lafforgue 

Conférenciers :

Yves André (Institut de mathématiques de Jussieu)
Joseph Ayoub (Universität Zürich)
Michael Hopkins (Harvard University)
Moritz Kerz (Universität Regensburg) 

Exposé extra-mathématique :

Céline Pessis (coordinatrice du livre "Survivre et vivre. Critique de la science, naissance de l'écologie")

Présentation et projection d’un film :

"L'espace d'un homme" par  Hervé Nisic

 

 

David Ruelle a apporté nombre de contributions majeures et durables dans plusieurs domaines de la physique : théorie quantique des champs axiomatique (théorie de Haag-Ruelle) ; mécanique statistique de l’équilibre (équations de Dobrushin-Lanford-Ruelle) ; théorie de la turbulence (concept d’ « attracteur étrange » de Ruelle-Takens) ; théorie des systèmes dynamiques et du chaos (opérateurs de transfert, mesures SRB (Sinaï, Ruelle, Bowen)) ; mécanique statistique du non-équilibre. Il est devenu professeur permanent à l’IHÉS en 1964 (professeur honoraire depuis 2000).

Organisé par : Thibault Damour et Jean-Pierre Eckmann

Conférenciers :

15h00-16h00
Viviane BALADI (CNRS-IMJ-PRG) 
Spectres d'opérateurs de transfert et billards de Sinai

Depuis une douzaine d'années, on sait contrôler le spectre d'un opérateur de transfert agissant sur un espace de distributions anisotropes. Ceci a permis de simplifier les preuves de résultats obtenus par d'autre méthodes (partitions de Markov, tours de Lai-Sang Young), mais aussi d'obtenir de nouveaux résultats qui avaient résisté aux autres approches.

Avec Mark Demers et Carlangelo Liverani nous avons ainsi récemment montré que les flots billards de Sinai mélangent exponentiellement vite. L'exposition de ce résultat sera ainsi l'occasion de donner un rapide panorama du sujet.

16h30-17h30
Hans Henrik RUGH (Université Paris-Sud Orsay)
The Milnor-Thurston determinant and the Ruelle transfer operator

The topological entropy htop of a continuous piecewise monotone interval map measures the exponential growth in the number of monotonicity intervals for iterates of the map. Milnor and Thurston showed that exp(-htop) is the smallest zero of an analytic function, now coined the Milnor-Thurston determinant, that keeps track of relative positions of forward orbits of critical points. On the other hand exp(htop) equals the spectral radius of a Ruelle transfer operator L, associated with the map. Iterates of L keep track of inverse orbits of the map. For no obvious reason, a Fredholm determinant for the transfer operator has not only the same leading zero as the M-T determinant but all peripheral (those lying in the unit disk) zeros are the same.

In the talk I will show that on a suitable function space, the dual of the Ruelle transfer operator has a regularized determinant, identical to the Milnor-Thurston determinant, hereby providing a natural explanation for the above puzzle.

17h45 : Reception

 

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, 2020.

Organised by: Alexandre Gramfort (INRIA) and Thanh Mai Pham NGOC (LMO Orsay)

Invited speakers:

Sarah Cohen-Boulakia (LRI, Paris-Sud)
Victor-Emmanuel Brunel (ENSAE/CREST)
Steve Oudot (INRIA)
Charles Soussen (CentraleSupélec)
Gilles Blanchard (IHES)
Quentin Merigot (Paris-Sud)

The Ising model is one of the most classical models of statistical physics and has been a testing ground for mathematicians and physicists for a century. On the occasion of its 100th anniversary, postponed from 2020 to 2022, the Institut des Hautes Études Scientifiques (IHES) organises a special conference that will take place 30 May to 3 June 2022, with talks from various fields involved in the study of the model.

This event should serve as a platform between mathematicians and physicists working in the domain. 

This conference is organised by: Hugo Duminil-Copin (IHES), Slava Rychkov (IHES) and Béatrice de Tilière (Cérémade, Univ. Paris-Dauphine)

 

© Clément Hongler (EPFL)

 

List of speakers and round-table participants:

Michael AIZENMAN, Princeton University (Speaker)
Roland BAUERSCHMIDT, University of Cambridge (Speaker)
Edouard BRÉZIN, ENS Paris (Round-table)
Michele CASELLE, Università di Torino (Speaker)
Loren COQUILLE, Université Grenoble-Alpes (Speaker)
Victor DOTSENKO, LPTMC Jussieu (Speaker)
Daniel FISHER, Stanford University (Speaker)
Jürg FRÖHLICH, ETH Zürich (Round-table)
Alessandro GIULIANI, Università di Roma 3 (Speaker)
Rafael GREENBLATT, Universita’ degli Studi Roma Tre (Speaker)
Geoffrey GRIMMETT, University of Cambridge (Round-table)
Clément HONGLER, EPFL (Speaker)
Arthur JAFFE, Harvard University (Round-table)
Rick KENYON, Yale University (Speaker)
Joel LEBOWITZ, Rutgers University (Round-table)
Eyal LUBETZKY, Courant Institute, NYU (Speaker)
Giuseppe MUSSARDO, SISSA Trieste (Speaker)
Eveliina PELTOLA, HCM University of Bonn (Speaker)
Ara SEDRAKYAN, Yerevan Physics Institute (Speaker)
Stanislav SMIRNOV, University of Geneva (Speaker)
Tom SPENCER, IAS (Round-table)
Vincent TASSION, ETH Zürich (Speaker)
Fabio TONINELLI, Technical University of Vienna (Speaker)
Yvan VELENIK, Université de Genève (Speaker)
Alessandro VICHI, Università di Pisa (Speaker)
Wendelin WERNER, ETH Zürich (Speaker)
Jean ZINN-JUSTIN, CEA Saclay (Speaker)

 A conference in honor of Samson Shatashvili’s 60th birthday

The interactions of Mathematics and Physics have greatly intensified during the last three decades, and it led to a number of very significant breakthroughs in Mathematics. Among other things, these breakthroughs include new invariants of 3 and 4-dimensional manifolds, the discovery of mirror symmetry in Algebraic Geometry, and the theory of deformation quantization. This progress became possible due to close interactions between Mathematics and theoretical Physics and due to the dialogue between mathematicians and physicists working on similar problems but using very different methods.

The conference will touch upon two important aspects of interaction between Mathematics and Quantum Field Theory: Quantum Integrability and Anomalies. It will honour Professor Samson Shatashvili on the occasion of his 60th birthday.

Professor Samson Shatashvili made deep contributions in the theory of anomalies and in quantum integrability. In particular, in collaboration with L. Faddeev he discovered the interpretation of gauge theory anomalies in terms of abelian extensions of gauge groups on manifolds of odd dimension. In the theory of quantum integrability, together with a number of collaborators he discovered a deep link between Bethe equations and supersymmetric quantum gauge theory. Professor Shatashvili (of the Trinity College, Dublin and the Simons Center for Geometry and Physics, Stony Brook) served as a Louis Michel Chair and then as an Israel Gelfand Chair at IHES for many years. He contributed in a significant way in the development of ideas and in the unique research atmosphere of IHES.

Organisers: Anton Alekseev (Université de Genève) & Maxim Kontsevich (IHES)

Invited speakers include:

Costas Bachas (ENS-Paris)
Jean-Michel Bismut (Université Paris-Sud Orsay)
Gregory Gabadadze (New York University)
Sergei Gukov (Caltech)
Simeon Hellerman (IPMU)
Chris Hull (Imperial College London)
Vladimir Kazakov (ENS-Paris)
Zohar Komargodski (SCGP)
Vladimir Korepin (Stony Brook University)
Manuela Kulaxizi (Trinity College Dublin)
Sergei Lukyanov (Rutgers University)
Ruben Minasian (IPhT – CEA Saclay)
Vasily Pestun (IHES)
Alexey Rosly (ITEP, Skoltech, HSE, IITP, Moscow)
Sinead Ryan (Trinity College Dublin)
Ivo Sachs (LMU Munich)
Nana Shatashvili (Tbilisi State University, Georgia)
Fedor Smirnov (LPTHE Sorbonne-Université)
Leon Takhtajan (Stony Brook University)
Anne Taormina (Durham University)
Cumrum Vafa (Harvard University)
Pierre Vanhove (IPhT & CEA Saclay)
Erik Verlinde (Universiteit van Amsterdam)
Alexander Zamolodchikov (Stony Brook University)

 

Avec le soutien du LHM

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) or related to its models.

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

Invited speakers :

Nicolas Behr (Université de Paris, IRIF)
Marc Bellon (LPThE-Sorbonne-Univ., Paris and CNRS)
Pierre Cartier (IHES)
Bérénice Delcroix-Oger (Université de Paris, IRIF)
Gérard Duchamp (IHP and LIPN, Univ. Paris XIII)
Thomas Fernique (CNRS and LIPN, Univ. Paris XIII)
Stéphane Gaubert (INRIA and CMAP, École Polytechnique)
Dima Grigoryev (CNRS Painlevé Lab, Univ. Lille)
Dmitry Gurevich (Valenciennes Univ., France)
Richard Kerner (LPTMC, Sorbonne-Univ., Paris)
Maxim Kontsevich (IHES)
Gleb Koshevoy (ISCP, Moscow)
Annie Lemarchand (LPTMC, Sorbonne-Univ., Paris)
Léon Masurel (LPTMC, Sorbonne-Univ., Paris)
Vincel Hoang Ngoc Minh (Univ. Lille and LIPN, Univ. Paris XIII)
Gabriel Morgado (LPTMC, Sorbonne-Univ., Paris)
Frédéric Patras (LJAD, Univ. Côte d’Azur and CNRS)
Karol A. Penson (LPTMC, Sorbonne-Univ., Paris)
Vincent Rivasseau (LPT, Univ. Paris-Sud, Orsay)
Alan Sokal (University College London and New York University)
Pierre Vanhove (IPhT CEA/Saclay, HSE)

      

—————————————– 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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Algebraic Structures in Perturbative Quantum Field Theory
A conference in honour of Dirk Kreimer’s 60th birthday

On the occasion of Dirk Kreimer’s birthday, there will be a special issue of SIGMA on « Algebraic Structures in Perturbative Quantum Field Theory ».

Perturbative quantum field theory is essential for precision calculations of observables measured in experiments like the LHC, and therefore it is crucial for our understanding of the physics of the universe. At the same time, it is an extremely rich source of connections to a wide range of active research areas in mathematics. For example, Feynman integrals give rise to interesting motives and periods in algebraic geometry, their renormalization rests on combinatorial Hopf algebras underlying Feynman graphs, and further relations to noncommutative geometry and the moduli space of tropical curves and outer space have also been discovered.

This growing program keeps expanding in both breadth and depth, and exciting young researchers are entering the field. Now is an opportune time to bring together scientists working on all related aspects, to review old and new connections and to advance the state of the art. Lectures by established scientists will be accompanied by talks from young researchers, including a session dedicated to present and discuss open problems.

Close collaborations between mathematicians and physicists have been absolutely key for this kind of research, and many were initiated by Dirk Kreimer. Throughout his career, he made substantial contributions across these topics and led students and collaborators to the profound mathematical structures in perturbative quantum field theory that we are aware of today. Dirk Kreimer spent a particularly productive time at the IHES, and it is an honour that this workshop takes place in its inspiring and interdisciplinary environment.

Organisers: Erik PANZER (University of Oxford) & Karen YEATS (University of Waterloo)

Invited speakers include:

Ali Assem Mahmoud, University of Waterloo
Marc Bellon, LPTHE (Sorbonne Université)
Marko Berghoff, Humboldt-Universität
Spencer Bloch, University of Chicago
Johannes Blümlein, DESY Zeuthen
Michael Borinsky, Nikhef
David Broadhurst, The Open University
Francis Brown, University of Oxford
Yvain Bruned, University of Edinburgh
Alain Connes, IHES & Collège de France
Andrei Davydychev, Moscow State University
Gérald Dunne, University of Connecticut
Kurusch Ebrahimi-Fard, NTNU Trondheim
Loïc Foissy, Université du Littoral Côte d’Opale
Hadleigh Frost, University of Oxford
John Gracey, University of Liverpool
Martin Hairer, Imperial College London
Ralph Kaufmann, Purdue University
Thomas Krajewski, CPT Aix-Marseille
Dominique Manchon, CNRS & Université Clermont-Auvergne
Lukas NABERGALL, University of Waterloo
Sylvie Paycha, Institut für Mathematik Potsdam
Oliver Schnetz, FAU Erlangen-Nürnberg
Christian Schubert, Universidad Michoacana de San Nicolas de Hidalgo
Matt Szczesny, Boston University
Walter van Suijlekom, Radboud Universiteit Nijmegen
Karen Vogtmann, University of Warwick
Raimar Wulkenhaar, Westfälische Wilhelms-Universität Münster

 

Organized with the support of: