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18.758

Methods of Representation Theory

3-0-9 units · Graduate

Devoted to contemporary methods in representation theory of Lie groups, algebraic groups, and their generalizations. Topics may include: Springer correspondence, highest weight modules and Harish-Chandra bimodules, quantum groups and their representations, modular representations of algebraic groups and relation to quantum groups at a root of unity, representations of p-adic group, introduction to automorphic forms and Langlands duality, and representations of finite Chevalley groups.

Prerequisites & course information

Prereq: 18.745 and ( 18.737 or 18.755 ) G (Spring) 3-0-9 units

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