Jul 5 – 16, 2021
Europe/Paris timezone

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)

     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)

     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)

     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.


Marilyn and James Simons Conference Center
35 route de Chartres, F-91440 Bures-sur-Yvette, France

Participants are expected to try and find funds to cover their travel, housing and living expenses. Some limited amount of additional funds being available, requests for financial support will be examined on a case-by-case basis under special circumstances which have to be argumented. In any case, these funds will be granted only for transportation costs and not for every-day expenses such as food (participants will have access to the cafeteria of the nearby university where they can have full lunch from Monday through Friday for less than 6€). Regarding accomodation costs, support will be granted only in the form of a participation in the rent at the dormitories.