This conference is a Satellite Conference for the International Congress of Mathematicians ICM-2022 that will be held July 6–14 in Saint Petersburg, Russia.
This Congress is one of the oldest and most significant worldwide meetings of mathematicians.
We recommend exploring the ICM Program, as well as many of its Satellite Conferences
Official ICM2022 web-site – icm2022.org/
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
Representation theory, algebraic geometry, combinatorics, mathematical physics
[ last update March 5, 2021 ]
The event will be organized by the HSE University and by the Skolkovo Institute of Science and Technology.
The talks will be given by the invited leading experts in various fields of Geometric representation theory.
In addition, 2-3 lecture series will be scheduled.
Moscow, the capital of Russia, is the largest and one the most actively developing cities in Russia. The city offers a very rich cultural life and is one of the leading scientific centers in Russia. The strongest Russian research groups working in Representation Theory are based in Moscow.
We plan to provide special financial support for young mathematicians.
There will be no registration fee. We will do our best to cover (at least partially) accommodation and travel expenses for speakers and for young participants