The aim of our programme is to survey recent progress in representation theory inspired by ideas from algebraic geometry, to gather experts to discuss some emerging new directions, and to map out some further areas where exciting progress can be made. More specifically, our events will aim to study new approaches in representation theory emerging from the study of specific moduli spaces in algebraic geometry, as well as settings where representation-theoretic ideas provide new results in algebraic geometry. At our different events, the following topics will be studied: Higgs bundle moduli spaces and big algebras; quiver varieties, bow varieties, and quantum groups; the enumerative geometry of Quot schemes and moduli spaces of stables sheaves and connections to Yangians; and other, more general themes of modern geometric representation theory.

If you are interested in participating at one of our events (except the Introductory School which is already full), please contact the organizers. 

Programme:

March 15-19: Introductory School on Geometric Representation Theory

Lecturers Ben Davison (Edinburgh), Anne Moreau (Paris-Saclay), Hiraku Nakajima (Kavli IPMU, TBC), Andrei Okounkov (Columbia), Olivier Schiffmann (Paris-Saclay)

March 22-26: Workshop on Geometry and Quantum Integrable Systems

Workshop speakers to include Tommaso Botta (Columbia), Hunter Dinkins (MIT), Giovanni Felder (ETHZ), Iva Halacheva (Northeastern), Vasily Krylov (Harvard), Dmitri Panyushev (Independent U Moscow), Lev Rozansky (UNC), Leonid Rybnikov (Université de Montréal), Valerio Toledano (Northeastern), Alexander Varchenko (UNC), Oksana Yakimova (Friedrich-Schiller-University Jena), Yufeng Zhao (Beijing University), Zijun Zhou (Jiao Tong University)

April 12-16: Workshop on Moduli Spaces of Sheaves, Enumerative Geometry, and Geometric Representation Theory

Workshop speakers to include Noah Arbesfeld (Vienna), Barbara Fantechi (SISSA, TBC), Soheyla Feyzbakhsh (Imperial), Eugene Gorsky (Davis), Lothar Gottsche (ICTP, TBC), Davesh Maulik (MIT, TBC), Miguel Moreira (MIT),  Dragos Oprea (UCSD), Rahul Pandharipande (ETHZ, TBC), Junliang Shen (Yale, TBC), Andras Szenes (Uni Geneva), Yukinobu Toda (IPMU), Yaping Yang (Melbourne), Gufang Zhao (Melbourne)

April 26-27: AI/CAS/Lean for Representation Theory

This mini-workshop will explore artificial intelligence, computer algebra and formal verification system tools for applications in representation theory. Organised by Tamás Hausel

April 28 - May 7: School and Final Workshop Geometric Representation Theory Today

Lecturers Roman Bezrukavnikov (MIT, TBC), Joel Kamnitzer (Toronto), Ivan Losev (Yale, TBC), Nikolai Reshetikhin (Berkeley and Tsinghua), Peng Shan (Tsinghua), workshop speakers Pramod Achar (LSU, TBC), Sabin Cautis (UBC, TBC), Eleonore Faber (Graz), Peter Fiebig (University of Erlangen-Nuremberg), David Jordan (Edinburgh),Syu Kato (Kyoto University), Anna Lachowska (EPFL), Duncan Laurie (Edinburgh), Jakub Löwit (Vienna/MPI Bonn), George Lusztig (MIT), Simon Riche (Université Clermont Auvergne), Michela Varagnolo (CY Cergy Paris), Eric Vasserot (Paris Cité), Zhiwei Yun (MIT)

The organisers acknowledge additional financial support for this event from ERC grant ViaFiPoS: Representation theory, equivariant topology and Langlands duality via fixed point schemes held by Tamás Hausel, as well as NSF grant DMS-2627221: Conference: Modern Representation Theory and Algebraic Geometry at ESI, held by Richard Rimányi.