ncku-talk2015-05-21

NCKU Math Colloquium / RCTS Seminar

DATE 2015-05-21　15:10-16:00

PLACE 數學系3174

SPEAKER 楊一帆教授（交大應數系）

TITLE Special 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.

NCKU Math Colloquium / RCTS Seminar

DATE	2015-05-21　15:10-16:00

PLACE	數學系3174

SPEAKER	楊一帆教授（交大應數系）

TITLE	Special 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.