AUTOMNE / FALL 2005 Title: Introduction to Shimura Varieties Instructor: Peter Clark Abstract: The course will cover topics in the theory of Shimura varieties, a class of algebraic varieties providing a bridge between Galois theory and automorphic forms. Our focus will be on the examples of modular curves, Shimura curves, and Hilbert and Siegel modular varieties. Abstract: This course will consist in a series of lectures aimed to prepare graduate students to the topics of the second term of the Theme Year. The subjects presented will be related to classical analysis, analytic number theory, additive number theory and combinatorics. |