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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