NCKU Math Colloquium / RCTS Seminar

DATE2015-05-21 15:10-16:00


SPEAKER楊一帆 教授(交大應數系

TITLESpecial Values of Hypergeometric Functions and Periods of CM Elliptic Curves

ABSTRACT Abstract: By realizing modular forms on Shimura curves in two ways, firstly in terms of solutions of Schwarzian differential equations and secondly in terms of Borcherds forms, and then using Schofer's formula for values of Borcherds forms at CM-points, we obtain special values of hypergeometric functions in terms of periods of CM-elliptic curves over \bar Q.