Description: This will be an introductory course to the geometric representation theory. We will mainly focus on the book of Chriss and Ginzburg.Prerequisite:Some knowledge of Lie algebra, Lie group and algebraic geometryReference:N. Chriss and V. Ginzburg, Representation theory and complex geometryV. Ginzburg, Geometric methods in the representation theory of Hecke algebras and quantum group
OVERVIEW Representation theory is the study of the basic symmetries of mathematics and physics. The fundamental aims of geometric representation theory are to uncover the deeper geometric and categorical structures underlying the familiar objects of representation theory and harmonic analysis, and to apply the resulting insights to the resolution of classical problems. The geometric study of re...