27 June 2022 to 2 July 2022
Online
Europe/Moscow timezone

This workshop was originally planned to be held in Moscow, as a satellite conference of the ICM 2022. Speakers were invited and preparations were on schedule.

Unfortunately due to the war in Ukraine, it was clear that the event cannot be held in Russia.

A new organizing committee is formed from volunteers of speakers together with Markus Reineke and Vera Serganova in the original committee. The conference is now hosted by Kavli IPMU, the University of Tokyo, Japan. In particular, there will be no support from the Russian Goverment.
 

Dates: June 27 - July 2, 2022

Venue: Online

Overview:

Representation theory plays a very important role in modern mathematics due to a huge number of applications in various fields of mathematics and mathematical physics, such as integrable systems, quantum field theory, algebraic and convex geometry and topology. The main idea of the representation theory is to study various algebraic structures via their realization as symmetries of mathematical or physical objects. One can also use the opposite direction to derive algebraic, geometric and combinatorial properties of an object of interest via its symmetries.
The geometric representation theory studies deep geometric properties of varieties, sheaves and moduli spaces via the algebraic and combinatorial properties of algebraic groups, Lie algebras, quantum groups or quivers. A classical example is the Borel-Weil-Bott theorem giving a uniform description of representations of a simple Lie algebras via the line bundles on flag varieties.

We plan to bring together leading experts working in various fields of modern geometric representation theory and early career mathematicians and graduate students.
The topics we plan to cover include geometry and topology of the Grassmannians and flag varieties, representation theory of Kac-Moody Lie algebras, quiver varieties, representations of quivers, quantum groups, modular representation theory, applications in mathematical physics and combinatorics

Original Organizing Committee:

  • Ivan Arzhantsev (HSE Univ., Moscow)
  • Evgeny Feigin (HSE Univ. / Skoltech, Moscow)
  • Michael Finkelberg (HSE Univ. / Skoltech, Moscow)
  • Valentina Kiritchenko (HSE Univ., Moscow)
  • Markus Reineke (RUB, Bochum)
  • Leonid Rybnikov (HSE Univ., Moscow)
  • Vera Serganova (Univ. of California at Berkeley)
  • Evgeny Smirnov (HSE Univ., Moscow)

Organizing Committee Members :

  • Tomoyuki Arakawa (Kyoto)
  • Joel Kamnitzer (Toronto)
  • Hiraku Nakajima (Tokyo)
  • Markus Reineke (Bochum)
  • Francesco Sala (Pisa)
  • Vera Serganova (Berkeley)

Address:
Kavli Institute for the Physics and Mathematics of the Universe (Kavli IPMU),
the University of Tokyo, 5-1-5 Kashiwa-no-ha, Kashiwa City, Chiba 277-8583, Japan


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