Assume certain comparison between non-commutative Hodge structures and classical Hodge structures, we show the categorical enumerative invariants associated with a smooth projective family of Calabi-Yau 3-folds satisfy the holomorphic anomaly equations. This naturally leads to the study of geometric structures on moduli spaces of smooth projective Calabi-Yau 3-folds. ========Pour être informé des prochains séminaires vous pouvez vous abonner à la liste de diffusion en écrivant un mail à sympa@listes.math.cnrs.fr avec comme sujet: « subscribe seminaire_mathematique PRENOM NOM »(indiquez vos propres prénom et nom) et laissez le corps du message vide.

For certain problems, taking the Borel sum of an intuitively chosen divergent series solution will often produce a holomorphic solution. When does this happen, and what is special about the holomorphic solutions obtained in this way? We will present work in progress on these questions, focusing on two kinds of problems: linear ODEs and integrals over Lefschetz thimbles.Day IIThe second day’s lectures are dedicated to a family of examples: the Airy-Lucas functions introduced by Charbonnier et al. (arXiv:2203.16523). These functions satisfy linear ODEs that generalize the Airy equation. They can also, like the Airy function, be expressed as thimble integrals. We will explain, from both perspectives, why these solutions can be obtained by Borel summation.We will conclude by describing general classes of linear ODEs and 1d thimble integrals that can be analyzed in the same way. ========Pour être informé des prochains séminaires vous pouvez vous abonner à la liste de diffusion en écrivant un mail à sympa@listes.math.cnrs.fr avec comme sujet: « subscribe seminaire_mathematique PRENOM NOM »(indiquez vos propres prénom et nom) et laissez le corps du message vide.

For certain problems, taking the Borel sum of an intuitively chosen divergent series solution will often produce a holomorphic solution. When does this happen, and what is special about the holomorphic solutions obtained in this way? We will present work in progress on these questions, focusing on two kinds of problems: linear ODEs and integrals over Lefschetz thimbles.Day IWe will start the first day’s lectures with a presentation of our questions and an overview of our expected results.Next, we will review the Laplace and Borel transforms from a new perspective that highlights the geometric structure of the Borel plane. This geometric structure is relevant to both of the kinds of problems we study. For linear ODEs, the solutions that can be obtained by Borel summation are indexed by singular points on the Borel plane. Similarly, integrals over Lefschetz thimbles can be recast as Laplace integrals along rays departing from singular points. ========Pour être informé des prochains séminaires vous pouvez vous abonner à la liste de diffusion en écrivant un mail à sympa@listes.math.cnrs.fr avec comme sujet: « subscribe seminaire_mathematique PRENOM NOM »(indiquez vos propres prénom et nom) et laissez le corps du message vide.

ANNULÉ ET REPORTÉIn this talk we will revisit the bootstrap hypothesis in the two-dimensional case from a mathematical perspective. The bootstrap equations is a consistency for the CFT four-point correlation functions. Therefore, the following question is not mathematically clear: (Math Question) If the four-point correlation functions satisfy the bootstrap equations, can we define a multi-point correlation functions? (Is it convergent and consistent?) After introducing the notion of a full vertex algebra, which is equivalent to the fact that the four-point correlation functions satisfy the bootstrap equations, we will explain that all n-point correlation functions converge and are consistent when the full vertex algebra satisfies certain finiteness. An crucial step in the proof is to show that the operad of configuration spaces acts on representations of the full vertex algebra (under the finiteness assumption). We will explain this idea in detail. Pour être informé des prochains séminaires vous pouvez vous abonner à la liste de diffusion en écrivant un mail à sympa@listes.math.cnrs.fr avec comme sujet: « subscribe seminaire_physique PRENOM NOM »(indiquez vos propres prénom et nom) et laissez le corps du message vide.

Higher categorical symmetries have received widespread attention in recent years, generalising in various ways the usual notion of symmetry. Though exotic, such generalised symmetries have been shown to naturally arise as dual symmetries upon gauging ordinary symmetries. Specialising to certain finite group generalisations of the (2+1)d transverse-field Ising model, I will explain what it means for a quantum lattice model to have such a symmetry structure.  Pour être informé des prochains séminaires vous pouvez vous abonner à la liste de diffusion en écrivant un mail à sympa@listes.math.cnrs.fr avec comme sujet: « subscribe seminaire_physique PRENOM NOM »(indiquez vos propres prénom et nom) et laissez le corps du message vide.

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.

The scope of this in-person week-long meeting that will take place at the Institut des Hautes Études Scientifiques (IHES) in Bures-sur-Yvette, is to bring together scientists from the LSC Committee with invited experts and the IHES scientists to present the latest progress in understanding evolution as a process of learning, and conversely, evolution of learning, in the context of their respective disciplines, to fuel discussion of the challenges and brainstorm on synergistic solutions.INVITED SPEAKERS:INVITED SENIOR GUESTS:INVITED JUNIOR GUESTS:More details in the Profiles section. ORGANIZERS:Yves Barral, ETH ZurichEugene Koonin, NIHMikhail Gromov, IHES & NYUBob Penner, IHES & UCLASCIENTIFIC COMMITTEE:Yann LeCun, NYU & Meta AINicolas Minc, U. Paris Cité/CNRSPierre-Yves Oudeyer, INRIA BordeauxYukiko Yamashita, MITEXECUTIVE ORGANIZATION: Grazia Gonella, ETH ZurichCONTACT: lsc@biol.ethz.ch

Most people are familiar with periodic tessellations and lattices; from the patio floor at the reception building to their favourite spin systems. In this talk, I will discuss two less familiar families of tessellations and their possible connections to high energy physics, condensed matter physics, and mathematics: hyperbolic tessellations and quasicrystals. After introducing the basics of regular hyperbolic lattices, I will survey constructions and surprising properties of quasicrystals (like the Penrose tiling), including their classically forbidden symmetries, long-range order, and self-similar structure. Inspired by the AdS/CFT correspondence, I will describe a mathematical relationship between hyperbolic lattices in (D+1)-dimensions and quasicrystals in D-dimensions, as well as the resolution of a conjecture by Bill Thurston. Based on work to appear with Latham Boyle. Pour être informé des prochains séminaires vous pouvez vous abonner à la liste de diffusion en écrivant un mail à sympa@listes.math.cnrs.fr avec comme sujet: « subscribe seminaire_physique PRENOM NOM »(indiquez vos propres prénom et nom) et laissez le corps du message vide.

I will explain recent new results about the category of localizing motives — the target of the universal localizing invariant of stable k-linear infinity-categories (over some base k), commuting with filtered colimits. In particular, I will explain the most striking property of this category: it is rigid as a large symmetric monoidal category (in the sense of Gaitsgory and Rozenblyum). I will also explain how to compute morphisms in this category, obtaining an effective description of the algebraic version of K-homology and more generaly of Kasparov’s KK-theory. As a special case, we will deduce the corepresentability of TR (by the reduced motive of the affine line) and of the topological cyclic homology (by the unit object of the kernel of A1-localization), when restricted to the motives of connective E1-rings. Another special case is the comparison theorem of two approaches to K-theory of formal schemes: the classical continuous K-theory is equivalent to the K-theory of the category of nuclear modules, which was defined by Clausen and Scholze. If time permits, I will explain an application to the p-adic analogue of the lattice conjecture. Namely, we construct a symmetric monoidal functor from smooth and proper dg categories over Cp to perfect modules over the p-completion of KU, with a natural map from the K(1)-local K-theory (this map is conjecturally an equivalence, but this seems to be out of reach).  ========Pour être informé des prochains séminaires vous pouvez vous abonner à la liste de diffusion en écrivant un mail à sympa@listes.math.cnrs.fr avec comme sujet: « subscribe seminaire_mathematique PRENOM NOM »(indiquez vos propres prénom et nom) et laissez le corps du message vide.

“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)

The year 2023 marks the centenary of the birth of Louis Michel, the first Professor of Theoretical Physics at IHES. On this occasion, Thibault Damour and Slava Rychkov organize a one-day commemoration on May 15, 2023, at IHES. Several presentations will be given by lecturers linked to Louis Michel or to his work:Jean-Pierre Bourguignon, CNRS-IHESHenri Epstein, CNRS-IHESDenis Gratias, CNRS-Institut de Recherche de Chimie ParisDavid Ruelle, IHESSlava Rychkov, IHESMarjorie Senechal, Smith CollegeBoris Zhilinskii, Univ. du Littoral Côte d’OpaleOrganizers: Thibault DAMOUR (IHES) and Slava Rychkov (IHES).

Séminaire Laurent Schwartz — EDP et applications