conf_icm_grth2

This workshop was originally planned as a Satellite Conference for the International Congress of Mathematicians ICM-2022
Official Workshop web-site – indico.ipmu.jp

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

Venue:

  • online

Dates:

  • June 27 – July 2, 2022

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)

Scientific scope:

Representation theory, algebraic geometry, combinatorics, mathematical physics

Keynote speakers:
[ last update July 26, 2022 ]

  • Henning Haahr Andersen (Univ. of Southern Denmark)
  • Tomoyuki Arakawa (RIMS, Kyoto Univ.)
  • Pierre Baumann (Univ. Strasbourg and CNRS)
  • Yuri Berest (Cornell Univ.)
  • Roman Bezrukavnikov (MIT)
  • Alexander Braverman (Univ. of Toronto)
  • Dan Ciubotaru Univ. of Oxford)
  • Ben Davison (Univ. of Edinburgh)
  • Pavel Etingof (MIT)
  • Michael Finkelberg (HSE Univ., Skoltech)
  • Yasmine Fittouhi (Univ. of Haifa)
  • Ghislain Fourier (RWTH Aachen Univ.)
  • Ryo Fujita (RIMS, Kyoto / IMJ-PRG, Paris)
  • Victor Ginzburg (Univ. of Chicago)
  • Iva Halacheva (Northeastern Univ.)
  • David Hernandez (Univ. Paris Cité)
  • Joel Kamnitzer (Univ. of Toronto)
  • Alexander Kleshchev (Univ. of Oregon)
  • Allen Knutson (Cornell Univ.)
  • Martina Lanini (Univ. of Rome Tor Vergata)
  • Ivan Loseu (Yale Univ.)
  • George Lusztig (MIT)
  • Ivan Mirkovic (Univ. of Massachusetts, Amherst)
  • Anne Moreau (Lab. de Mathématiques d’Orsay)
  • Hiraku Nakajima (Kavli IPMU)
  • Emily Norton (Univ. of Kent)
  • Simon Riche (Univ. Clermont Auvergne)
  • Leonid Rybnikov
  • Alistair Savage (Univ. of Ottawa)
  • Peng Shan (Tsinghua Univ.)
  • Wolfgang Soergel (Univ. Freiburg)
  • Eric Vasserot (Univ. de Paris)
  • Weiqiang Wang (Univ. of Virginia)

Contact email of the Organizing Committee:

The conference is hosted by Kavli IPMU, the University of Tokyo, Japan.