2021 Summer School “Enumerative Geometry, Physics and Representation Theory”

The 2021 IHES Summer School on “Enumerative Geometry, Physics and Representation Theory“, held from 5 to 16 July, was organized in a blended version, in which some participants were at IHES in person, and others will participate over Zoom.

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

The organising committee includes Andrei Negut (Massachussetts Institute of Technology), Francesco Sala (Università di Pisa) and Olivier Schiffmann (CNRS, Faculté des Sciences d’Orsay, Université Paris-Saclay).

Mina Aganagic (University of California at Berkeley), Hiraku Nakajima (Kavli IPMU), Nikita Nekrasov (Simons Center for Geometry and Physics), and Andrei Okounkov (Colombia University) are the members of the scientific committee.

Enumerative Geometry, Physics and Representation Theory

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.

The 2021 Summer School will focus on the following main subjects with mini-courses and advanced talks given by international experts:

• 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-theoric, derived categories).

Mini-courses given by:
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 given by:
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).

Information on the dedicated web page.

Find all the videos of the summer school :