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
Original organizing committee:
Organizing committee members:
Representation theory, algebraic geometry, combinatorics, mathematical physics
[ last update July 26, 2022 ]
Contact email of the Organizing Committee:
The conference is hosted by Kavli IPMU, the University of Tokyo, Japan.