Time : August 10th, 11:00 AM

Place : Nat. Sci. Bldg 108, Gauss(318)

Speaker : Dr. Yoon, Dong Sung (KAIST)

Title : Generators of Siegel modular function fields of higher genus and level

Abstract : Siegel pioneered the generalization of the theory of elliptic modular functions to the modular functions in several variables, which are called Siegel modular functions. Siegel modular functions are of fundamental importance in number theory and algebraic geometry. However, we know relatively little about Siegel modular functions until now because it is difficult to find attractive examples that can be handled. In this talk, we construct explicit generators of Siegel modular function field of higher genus and level in terms of multi-variable theta constants.