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
Abstract: At the first discussion, we have introduced the general framework of TQFT. This time we will discuss the properties of Chern-Simons theory in detail, which is a very important kind of Schwarz TQFT that related to many branches of physics and mathematics, e.g. knot theory, string theory, conformal field theory, quantum gravity and so on. And we will continue to discuss the some basics ...