2026 IHES Summer School – Cosmological Correlators

Organizing Committee: Daniel Baumann (Amsterdam and National Taiwan Univ.), Daniel Green (UC San Diego), Austin Joyce (Univ. of Chicago), Guilherme Pimentel (SNS Pisa).
Scientific Committee: Eiichiro Komatsu ((Max Planck Inst. for Astrophysics), Marilena LoVerde (Univ. of Washington), Eva Silverstein (Stanford Univ), Raman Sundrum (Univ. of Maryland).
The Summer School will be held at the Institut des Hautes Études Scientifiques (IHES) from July 6 to 17, 2026. IHES is located in Bures-sur-Yvette, south of Paris (40 minutes by train from Paris) – Access map
This school is open to everybody but intended primarily for young participants, including Ph.D. students and postdoctoral fellows. 
Deadline for applications: March 10, 2026

2026 IHES Summer School – Cosmological Correlators
The goal of this IHES school is to prepare students to make contributions to the study of cosmological correlations, both in the early and late universe. Theoretical cosmology as a discipline is increasingly crossing traditional subfield boundaries within high-energy physics. As a result, the full spectrum of topics and expertise students require cannot be simply contained in a single course.
This school aims to fill this gap by providing a holistic viewpoint on the diverse set of topics that students need to know, with an eye towards their applications in cosmology. There has been a remarkable amount of progress in the study of cosmological quantum field theory in the last few years, and a dedicated school focused on the diverse set of skills needed to contribute is much needed.
The school will have a set of courses given by world leaders in the subject, with the first week focused on EFT and bootstrap methods to compute cosmological correlators, and the second week devoted to more advanced topics and connections at the interface of particle theory and cosmology.
Speakers:

Dionysios Anninos (King’s College)
Scott Dodelson (Carnegie Mellon & Chicago Univ.)
Scott Melville (Queen Mary Univ. of London)
Enrico Pajer (DAMTP, Cambridge Univ.)
Claudia de Rham (Imperial College)
Marko Simonovic (Florence Univ.)
Charlotte Sleight (Univ. of Naples)
Massimo Taronna (Univ. of Naples)
Raffaele Tito D’Agnolo (IPhT CEA & ENS Paris)
Andrew Tolley (Imperial College)
Matias Zaldarriaga (IAS) 

 

 

2025 IHES Summer School – Statistical Aspects of Nonlinear Physics

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 – Discrete Subgroups of Lie Groups: Dynamics, Actions, Rigidity

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:

2024 IHES Summer School – Symmetries and Anomalies: a modern take

2024 IHES SUMMER SCHOOLOrganizing Committee: Zohar Komargodski (SCGP), Bruno Le Floch (CNRS & LPTHE), Elli Pomoni (DESY), and Masahito Yamazaki (IPMU).Scientific Committee: Anton Kapustin (Caltech), Yuji Tachikawa (IPMU), Xiao-Gang Wen (MIT).The Summer School will be held at the Institut des Hautes Études Scientifiques (IHES) from June 24 to July 05, 2024. IHES is located in Bures-sur-Yvette, south of Paris (40 minutes by train from Paris) – Access mapThis school is open to everybody but intended primarily for young participants, including Ph.D. students and postdoctoral fellows. Applications are closed. All candidates have received an email stating whether they were accepted. 2024 IHES Summer School – Symmetries and Anomalies: a Modern TakeSymmetries play an outsized role in understanding physical phenomena. In quantum systems ranging from condensed matter to high-energy particle physics, symmetries can feature different types of anomalies, which may constrain the dynamics or ruin the model’s consistency. This gives important clues on extensions to the Standard Model, or new topological phenomena in quantum materials. Anomalies have played an essential role in the modern developments of supersymmetric quantum field theories as well as string theory.  Last but not least, their study has influenced and benefitted from different areas of mathematics and in particular algebraic topology.This school will introduce students to the physical and mathematical underpinnings of anomalies including its more mathematical aspects on topological quantum field theory and characteristic classes, with a view toward recent applications to topological phases of matter and strongly coupled gauge theories.  The overarching idea is to have courses from three points of view that build upon each other: that of a mathematician (TFT, category theory, characteristic classes), a high-energy physicist (chiral anomalies and Hooft anomaly matching), and a condensed matter physicist (symmetry-protected and symmetry-enhanced topological order). The school would be suited to PhD students and postdocs coming from these three fields. We will ensure that with several tracks of exercise sessions revisiting background knowledge in math/hep-th/cond-mat as necessary.Courses will range from basic aspects of anomalies of continuous flavour symmetries to cutting-edge topics: conformal anomalies, lattice symmetries, CPT symmetries, higher-form symmetries, higher-group symmetries, as well as a categorical point of view thereon.Speakers:Clay CÓRDOVA (University of Chicago)Clément DELCAMP (IHES)Thomas DUMITRESCU (UCLA)Iñaki GARCÍA ETXEBARRIA (Durham University)Max METLITSKI (MIT)Shu-Heng SHAO (Stony Brook University)Đàm Thanh SƠN (Univ. of Chicago)Yifan WANG (New York U)

2023 IHES Summer School – Recent Advances in Algebraic K-theory

2023 IHES SUMMER SCHOOLOrganizing Committee: Benjamin Antieau (Northwestern University), Lars Hesselholt (University of Copenhagen / Nagoya University), and Matthew Morrow (CNRS and Université Paris-Saclay)Scientific Committee: Bhargav Bhatt (IAS and Princeton University / University of Michigan), Wiesia Niziol (CNRS and Sorbonne Université), and Akhil Mathew (University of Chicago) The Summer School will be held at the Institut des Hautes Etudes Scientifiques (IHES) from July 10 to 21, 2023. IHES is located in Bures-sur-Yvette, south of Paris (40 minutes by train from Paris) – Access mapThis school is open to everybody but intended primarily for young participants, including Ph.D. students and postdoctoral fellows. Please note that there won’t be remote transmission through Zoom but mini-courses and talks will be filmed and posted on the IHES YouTube channel in the following days.Application is open until February 15, 2023. In the style of an Oberwolfach Arbeitsgemeinschaft, ten talks will be given by postdoctoral participants on the topic of syntomic and étale motivic cohomology. Once the detailed list of talks is available, postdoctoral applicants will be contacted to ask which talk they would be willing to give.2023 IHES Summer School – Recent Advances in Algebraic $K$-theoryThe last few years have witnessed an explosion of progress in algebraic $K$-theory. Derived algebraic geometry and non-commutative methods have been refined into powerful tools, especially through the theory of localizing invariants. Trace methods have brought $K$-theory and topological cyclic homology closer together than ever before. Perfectoid techniques mean that $K$-theory benefits from the recent progress in $p$-adic cohomology, such as prismatic cohomology. Condensed mathematics provides at long last a uniform approach to the $K$-theory of topological rings. Geometric foundations for motivic stable homotopy theory have been laid and new motivic filtrations have been unearthed.The goal of the Summer School will be to help bring the participants up to date on these exciting developments, via research lectures, mini-courses, and an Arbeitsgemeinschaft on the topic of syntomic and étale motivic cohomology.MINI-COURSES:Johannes Anschutz (University of Bonn) and Arthur-César Le Bras (CNRS and Université de Strasbourg)Dustin Clausen (University of Copenhagen and IHES)Elden Elmanto (Harvard University)Ryomei Iwasa (Université Paris-Saclay)Georg Tamme (University of Mainz)SPEAKERS:Kęstutis ČESNAVIČIUS (CNRS and Université Paris-Saclay)Shane KELLY (University of Tokyo)Moritz KERZ (University of Regensburg)Hana Jia KONG (Institute for Advanced Study)Achim KRAUSE (University of Münster)Thomas NIKOLAUS (University of Münster)Arpon RAKSIT (Massachusetts Institute of Technology)Charanya RAVI (Indian Statistical Institute, Bangalore)Kirsten WICKELGREN (Duke University)Maria YAKERSON (CNRS and Sorbonne Université) This is an IHES Summer School organized in partnership with the Clay Mathematical Institute and in part of a project that has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No. 101001474).

Summer School on the Langlands Program

2022 IHES SUMMER SCHOOL

REMINDER: the participants of the Summer School who will come in person have been selected among a lot of applicants. Others, who were not selected but put on a waiting list won’t participate in person because the capacity of the conference center has been reached.

Therefore, if you are interested in participating but did not apply or haven’t been selected or invited to come, please register to participate through Zoom and don’t come to IHES. There are no more seats available and those who did apply and were selected through the application process have the priority to participate in person.

Thank you for your understanding and cooperation!

************

Organizing Committee: Pierre-Henri Chaudouard (IMJ-PRG),  Wee Teck Gan (National Univ. of Singapore), Tasho Kaletha (Univ. of Michigan), Yiannis Sakellaridis (Johns Hopkins Univ.)

Scientific Committee: Gérard Laumon (Univ. Paris-Sud), Colette Mœglin (IMJ-PRG), Bảo Châu NGÔ (Chicago Univ.), Jean-Loup Waldspurger (IMJ-PRG)

The « Summer School on the Langlands Program » will be held at the Institut des Hautes Etudes Scientifiques (IHES) from 11 to 29 July. IHES is located in Bures-sur-Yvette, south of Paris (40 minutes by train from Paris).

This school is open to everybody but intended primarily for young participants, including Ph.D. students and postdoctoral fellows.

It has been almost 45 years since the influential summer school held in Corvallis, Oregon in 1977 brought together the leading experts of the Langlands program and defined the research agenda in this area for subsequent decades, at the same time inspiring and enabling several generations of young researchers to join in this exciting journey. This 3-week IHES summer school aims to do the same for the next phase of development in the Langlands program.

Recent decades have brought tremendous progress on the project of endoscopy, the extension of the Langlands program to the “relative” setting of spherical varieties and other related spaces, numerous successful “explicit” methods (such as the theta correspondence) to construct functoriality, novel ideas “beyond endoscopy”, and arithmetic applications of both the theta correspondence and the relative trace formula to the study of special cycles and their generating series. Ideas from the geometric Langlands program have begun impacting and enriching the classical Langlands program in significant ways. In particular, the idea that the “space of Langlands parameters” is not just a set, but a (putative) geometric space, can be used to organize a lot of developments around reciprocity, including the Taylor–Wiles method, derived structures, the Langlands correspondence over function fields, and the geometrization of the local Langlands conjecture.

The summer school will attempt to bring these exciting new directions together and explore their interactions.

SPEAKERS:

BEN-ZVI David (UT Austin)
BEUZART-PLESSIS Raphaël (Univ. Aix-Marseille)
CARAIANI Ana (Imperial College)
CHAUDOUARD Pierre-Henri (IMJ-PRG)
DAT Jean-François (IMJ-PRG)
EMERTON Matthew (Chicago Univ.)
FARGUES Laurent (IMJ-PRG)
FENG Tony (MIT)
FINTZEN Jessica (Duke Univ. & Cambridge Univ.)
GAN Wee Teck (National Univ. of Singapore)
GEE Toby (Imperial College)
HARRIS Michael (Columbia Univ.)
HELLMANN Eugen (Univ. Münster)
KALETHA Tasho (Univ. of Michigan)
LAPID Erez (Weizmann Inst.)
LI Chao (Columbia Univ.)
MASON-BROWN Lucas (Univ. of Oxford)
MOREL Sophie (ENS Lyon)
NGÔ Bảo Châu (Chicago Univ.)
PRASAD Dipendra (IIT Bombay)
RASKIN Sam (Univ. of Texas)
SAKELLARIDIS Yiannis (Johns Hopkins Univ.)
SCHOLZE Peter (Univ. Bonn)
SHIN Sug Woo  (UC Berkeley)
TAÏBI Olivier (ENS Lyon)
VENKATESH Akshay (IAS)
WEINSTEIN Jared (Boston Univ.)
XUE Cong (IMJ-PRG)
YUN Zhiwei (MIT)
ZHANG Wei (MIT)
ZHU Xinwen (CALTECH)
 

This is an IHES Summer School, organized in partnership with the Clay Mathematical Institute, the National Science Foundation, the support of the Société Générale, the FMJH and Qube RT.

 

Motivic, Equivariant and Non-commutative Homotopy Theory

Watch the videos on Youtube.

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

>> Due to the Covid-19 pandemic, the 2020 Summer School has been organised through zoom. Mini-courses and talks have been recorded and downloaded on the IHES YouTube Channel.

Organising Committee: Aravind Asok (University of Southern California), Frédéric Déglise (CNRS Dijon), Grigory Garkusha (Swansea University), Paul Arne Østvær (University of Oslo)

Scientific Committee: Eric M. Friedlander (University of Southern California), Haynes R. Miller (MIT Department of Mathematics), Bertrand Toën (CNRS Toulouse)

The IHES 2020 Summer School on « Motivic, Equivariant and Non-commutative Homotopy Theory » will be held from 6 to 17 July 2020.

This school is open to everybody but intended primarily for young participants, including PhD students and postdoctoral fellows.

The IHES 2020 Summer School will focus on topics in motivic and equivariant homotopy theory, and non-commutative geometry.

These three subjects are currently experiencing a phase of intense growth and development:

long-standing central conjectures have been solved;
existing theories are being perfected;
many new foundational developments are being made on this basis.

It’s expected that these developments will spur many further advances and interactions in the near future.

The lecture series and research talks at the IHES Summer School will focus on presenting the latest developments in topics related to categories of motives, calculational and foundational aspects of motivic and equivariant homotopy theory, and the generalisations of these tools and techniques in the setting of non-commutative geometry.

INVITED SPEAKERS

The Summer School will feature mini-courses by

*  Clark Barwick (University of Edinburgh)
*  Teena Gerhardt (Michigan State University)
*  Daniel Isaksen (Wayne State University)
*  Dmitry Kaledin (Steklov Mathematical Inst. & National Research Univ. Higher School of Economics)
*  Marc Levine (Universität Duisburg-Essen)
*  Ivan Panin (St. Petersburg Department of Mathematics)
*  Goncalo Tabuada (MIT/University of Warwick)

as well as research talks by

*  Federico Binda (University of Milan)
*  Tom Bachmann (MIT)
*  Mike Hill (UCLA)
*  Geoffroy Horel (University Paris 13)
*  Alexander Neshitov (Western University)
*  Angélica M. Osorno (Reed College)
*  Marco Robalo (Institut de Mathématiques de Jussieu)
*  Kirsten Wickelgren (Duke University)

 

Both the lecture series and research talks will focus on presenting the latest developments in topics related to categories of motives, calculational and foundational aspects of motivic and equivariant homotopy theory, and the generalisations of these tools and techniques in the setting of non-commutative geometry.

This is an IHES Summer School organised in partnership with the Research Council of Norway, the Fondation Mathématique Jacques Hadamard and the ANR, and the support of the Société Générale and the ERC.

 

Enumerative Geometry, Physics and Representation Theory

Organising Committee: Andrei Negut (Massachussetts Institute of Technology), Francesco Sala (Università di Pisa) and Olivier Schiffmann (CNRS and Université de Paris-Sud)

Scientific Committee: Mina Aganagic (University of California at Berkeley), Hiraku Nakajima (Kavli IPMU), Nikita Nekrasov (Simons Center for Geometry and Physics), and Andrei Okounkov (Colombia University)

The 2021 IHES Summer school on « Enumerative Geometry, Physics and Representation Theory » will be held in a blended format at the Institut des Hautes Etudes Scientifiques (IHES) from 5 to 16 July 2021 with a reduced number of selected participants and through Zoom for all those who are interested in the subject (cf.link to the new registration form below).

This school is open to everybody but intended primarily for young participants, including Ph.D. students and postdoctoral fellows.

The School will be managed via a Slack workspace. If you have registered but you have not received yet the registration link to the Slack workspace, please contact Francesco Sala

The main theme of this Summer School is enumerative geometry, with particular emphasis on connections with mathematical physics and representation theory. As its core, enumerative geometry is about counting geometric objects. The subject has a history of more than 2 000 years and has enjoyed many wonderful breakthroughs in the golden years of classical algebraic geometry, but we will be interested in more recent developments.

This Summer School will focus on the following main subjects:

counting curves and sheaves (Gromov-Witten theory, Donaldson-Thomas and related theories)
gauge theory enumerative geometry (3d gauge theories and Coulomb branches, 4d gauge theories, and Vafa-Witten invariants, etc)
applications of enumerative geometry to categorification and low-dimensional topology
Hall algebras and their refined versions (cohomological, K-theoretic, derived categories)

INVITED LECTURERS:
     Eugene Gorsky (University of California at Davis)
     Joel Kamnitzer (University of Toronto)
     Davesh Maulik (Massachusetts Institute of Technology)
     Rahul Pandharipande (ETH Zürich)
     Markus Reineke (Ruhr-Universität Bochum)
     Richard Thomas (Imperial College London)

ADVANCED TALKS:
     Pierrick Bousseau (CNRS and Université Paris-Saclay)
     Alexander Braverman (University of Toronto and Perimeter Institute for Theoretical Physics)
     Tudor Dimofte (University of California at Davis and University of Edinburgh)
     Lothar Gottsche (ICTP)
     Michael Groechenig (University of Toronto)
     Maxim Kontsevich (IHES)
     Georg Oberdieck (Mathematisches Institut der Universität Bonn)
     Richard Rimanyi (University of North Carolina at Chapel Hill)
     Peng Shan (Tsinghua University)
     Dimitri Zvonkine (Laboratoire Mathématiques de Versailles)

EXERCISE SESSIONS / Q&A SESSIONS:
     For Gorsky’s course: Oscar Kivinen (University of Toronto),  
                                          Jose Simental Rodriguez (Max-Planck Institute for Mathematics).

     For Kamnitzer’s course: Yehao Zhou (Perimeter Institute for Theoretical Physics), 
                                                Michael McBreen (Chinese University of Hong Kong).

     For Maulik’s course: Junliang Shen (Yale University).

     For Thomas’ course: Woonam Lim (ETH Zürich), 
                                           Michail Savvas (University of California, San Diego),
                                           Shubham Sinha (University of California, San Diego).

 

This is an IHES Summer School organized with the support of the Société Générale and in partnership with the Fondation Mathématique Jacques Hadamard, the National Science Foundation, the Clay Mathematics Institute and the Foundation Compositio Mathematica.

Spectral properties of large random objects

The Summer school on "Spectral properties of large random objects" will be held at the Institut des Hautes Etudes Scientifiques (IHES) from July 17 to July 28, 2017. IHES is located in Bures-sur-Yvette, south of Paris (40 minutes by train from Paris).

The school is open to everybody but intended primarily for young participants, including PhD students and postdoctoral fellows.

Studying spectral properties of large random objects has been a very active playground in probability theory, mathematical physics and computer science during the last decades. 

The motivations are manifold: viewing random matrices as a model for complicated quantum Hamiltonians, studying random Schrödinger operators to understand the Anderson localization phenomenon, viewing eigenvectors of random matrices as models for eigenmodes of quantized chaotic systems, or understanding the geometry of large (random) graphs such as expanders via the spectral properties of their adjacency matrices. In those studies the emphasis is generally put either on the eigenvalues or the eigenvectors of the object.

The goal of the summer school is to present to the selected students (from master students to postdocs) a panoramic view of this rich area, in order to arouse their interest for some old problems which are coming back on stage, as well as the new exciting horizons of the field.

Some funding is available for young participants (more info at the bottom of the page)

Main courses:

• Charles BORDENAVE (Université de Toulouse) 
   Spectrum of random graphs
• Paul BOURGADE (New York University) 
   Universality and quantum unique ergodicity in random matrix theory
• Frédéric KLOPP (Université Pierre et Marie Curie)  
   Large systems of interacting quantum particles in a random field
• Eyal LUBETZKY (New York University) 
   Spectral vs. geometric approaches to random walks on random graphs
• Yuval PERES (Microsoft Research) 
   The cutoff phenomenon and rate of escape for Markov chains
• Christophe SABOT (Université de Lyon 1) 
   Self-interacting processes and random Schrödinger operators
• Balint VIRAG  (University of Toronto) 
  Operator limits of random matrices
• Simone WARZEL  (Technische Universität München)  
   Topics in random operator theory

Talks by:

• Nathanaël ENRIQUEZ (Université Paris X, LPMA)
• Camille MALE (CNRS & Université de Bordeaux)
• Justin SALEZ (Université Paris-Diderot, LPMA)

Organising Committee:

Nicolas CURIEN (Université Paris-Sud) 
Hugo DUMINIL-COPIN (IHES)
Jean-François LE GALL (Université Paris-Sud)
Stéphane NONNENMACHER (Université Paris-Sud)

With the support of

 

École d’été 2014 Théorie analytique des nombres

Objective

­ ­ Organised as part of the "IHÉS Lectures", this Summer School aims to train PhD students, post-docs and young researchers on recent topics of Analytic Number Theory and to promote exchanges between young researchers of all nationalities.

Analytic number theory began with the first questions concerning the distribution of prime numbers. Since then, the subject has evolved in many directions; it has influenced and interacted with many areas of mathematics, by lending or borrowing ideas going from combinatorics to representation theory, and from modular forms to the deepest reaches of algebraic geometry.

The summer school will cover both classical and emerging topics of analytic number theory, with a focus on the properties of prime numbers:

(1) advanced sieve methods and their refinements, including approaches to gaps between primes and asymptotic sieve for primes;

(2) distribution of arithmetic functions in arithmetic progressions, especially in ranges beyond the direct reach of the Riemann Hypothesis;

(3) exponential sums over finite fields, and their analytic applications, with a focus on the formalism and uses of Frobenius trace functions;

(4) modular forms and associated L-functions, and other analytic aspects of the Langlands program, such as the behavior of torsion homology;

(5) additive combinatorics.

 

­ ­

Avec le soutien de
la Société Générale

 

Speakers

Jean BOURGAIN (Princeton, USA)

Valentin BLOMER (Universität Göttingen, Germany)

Etienne FOUVRY (Université Paris-Sud, Orsay)

Andrew GRANVILLE (Université de Montréal, Québec)

Harald HELFGOTT (ENS, Paris)

Henryk IWANIEC (Rutgers University, Piscataway, USA)

Emmanuel KOWALSKI (ETH Zürich, Switzerland)

Philippe MICHEL (EPFL Lausanne, Switzerland)

Peter SARNAK (IAS Princeton, USA)

Kannan SOUNDARARAJAN (Stanford University, USA)

Terence TAO (UCLA, USA)

Akshay VENKATESH (Stanford University, USA)

Autre événement

Workshop on Analytic Number Theory and Geometry
organisé par Farrell Brumley
24-25 juillet, 2014
Université Paris 13

Supersymmetric Localization and Exact Results

Organising Committee Elli Pomoni(DESY)  Bruno Le Floch (Princeton University) and Masahito Yamazaki (Kavli IPMU, University of Tokyo)

Scientific Committee: Vasily Pestun (IHES), Silviu Pufu (Princeton University), Joerg Teschner (DESY)

The Summer school on "Supersymmetric Localization and Exact Results" will be held at the Institut des Hautes Etudes Scientifiques (IHES) from July 16 to July 27, 2018. IHES is located in Bures-sur-Yvette, south of Paris (40 minutes by train from Paris).

This school is open to everybody but intended primarily for young participants, including PhD students and postdoctoral fellows.

Significant progress has been made in the study of gauge theories in the last decade. Thanks to the discovery of novel techniques and especially supersymmetric localization, the field now possesses a plethora of exact results that previously seemed unreachable.

Starting with the work of Nekrasov who computed the instanton partition function for N=2 theories in four dimensions, Pestun computed the exact partition function on a four-sphere for theories with N=2 supersymmetry. Shortly after the partition functions as well as other observables in various spacetime dimensions and compact manifolds were computed.

Our school aims in deepening the understanding of current results and at investigating which of our current methods are transferable to theories with less supersymmetry, as well as trying to increase the list of possible observables that are computable via localization.

Each week will feature three or four speakers giving one lecture per day. During the first week, in addition to these three one hour and a half lectures there will be discussion and homework sessions in the afternoon. During the second week, some of the lectures will be replaced by talks on more advanced topics.

The main lectures will cover the following topics:

Week 1: Introduction to localization, Localization of instantons and Exact results on 4d N=2 theories

Week 2:  Topological strings and matrix models, M5 brane compactifications and Zamolodchikov metric and tt^* equation

Advanced talks week 2: Chiral algebras, N=1 localization, Localization with boundaries, line operators, surface operators, relations to CFT and integrable systems

INVITED SPEAKERS:

Week 1: 1h30 per topic per day
     Francesco Benini(SISSA
     Guido Festuccia (Uppsala)
     Wolfger Peelaers(Rutgers)

Advanced talk in week 1: 2-3 hours
     Seiji Terashima (Kyoto)

Week 2: 1h30 per topic per day
     Zohar Komargodski (Stony Brook)
     Maxim Zabzine (Uppsala)

Advanced talks in the second week: 2-3 hours each
     Nikita Nekrasov (Simons Center)
     Takuya Okuda (Tokyo)
     Balt van Rees (Durham)
 

Some funding is available for young participants (more info at the bottom of the page)

With the support of

 

Nonlinear Waves 2016: Summer School

Organized as part of the IHÉS Lectures, this 2-weeks Summer School will be the last major scientific event of the special trimester on Non-Linear Waves that will start in the beginning of May 2016 at IHÉS. This school aims at providing an overview of recent developments in the field at this stage of the new cycle started a few years ago and to provide to post-docs and researchers in the early stage of their career working in these domains an opportunity to interact with leading experts on the subject.

Another objective is to gather researchers with different backgrounds whose research is much more converging today than 4 years ago, such as the French schools working on fluid models, on kinetic theory, dynamical systems and partial differential equations in relation to finite-dimensional Hamiltonian models or the microlocal community.

Last but not least, another objective would be the following: the advances have helped to solve classical problems from physics with new and very advanced methods based on analytical intuition thus not always understood or simply not well-known by the physicists. The idea would be to initiate a transfer to physicists interested in non linear waves phenomena and intensify the discussions on more realistic models, whether fluid, kinetic or of high-frequency waves.

We will supplement mini courses (3 hours) in the morning and plenary talks in the afternoon (40-45 minutes) during 2 weeks.

Mini course speakers:

Rupert FRANK (California Institute of Technology)
Carlos KENIG (University of Chicago)
Nader MASMOUDI (Courant Institute of Mathematical Sciences)
Benoît PAUSADER (Brown University)
Michela PROCESI (Universita di Roma 1)
Robert STRAIN (University of Pennsylvania)
Daniel TATARU (University of California at Berkeley)

Plenary talks speakers:

Stefano BIANCHINI (SISSA)
Rémi CARLES (CNRS – IMAG Montpellier)
Stephen GUSTAFSON (University of British Columbia)
Joachim KRIEGER (EPFL)
Hans LINDBLAD  (Johns Hopkins University)
Hiroshi MATANO  (School of Science, University of Tokyo)
Natasa  PAVLOVIC (University of Texas at Austin)
Robert PEGO  (Carnegie Mellon University)
Svetlana ROUDENKO (George Washington University)
Gigliola  STAFFILANI (Massachusetts Institute of Technology)
Tai-Peng TSAI (University of British Columbia)
Nicola VISCIGLIA (Universita di Pisa)
Sijue WU (University of Michigan)

Organising Committee:

Yvan MARTEL (École Polytechnique)
Frank MERLE (Université de Cergy-Pontoise & IHÉS)
Fabrice PLANCHON (Université Nice Sophia-Antipolis)
 

Crédit photographique: © CNRS Photothèque
RAJAU Benoît (UMR7538 – Laboratoire de physique des lasers (LPL), VILLETANEUSE et VRIGNAUD François (UMR6172 – XLIM – LIMOGES)

With the support of