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#### Introduction to geometric representation theory

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

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#### An introduction to height theory

IntroductionThe notion of height was invented by André Weil to prove the famous Mordell's conjecture (if A is an abelian variety defined over a number field K, then A(K) is a finitely generated abelian group). In this class, we will study some properties of the logarithmic, absolute Weil height. We will also discuss about open problems related to this useful tool. At the end, we will construct ...

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