Title: Periods of algebraic varieties and derivatives of period maps
Speaker: Benjamin Bakker
Speaker Info: UIC
Brief Description:
Special Note:
Abstract:
Classical elliptic modular functions are well known to satisfy interesting differential equations. Higher-dimensional versions of this phenomenon were investigated in the 2000s by Bertrand and Zudilin, who among other things computed the transcendence degree of the field generated by Siegel modular forms and their derivatives. Siegel modular forms (and many automorphic forms in general) are naturally thought of in terms of the periods of universal families of abelian varieties, and in this talk I will explain how to extend these ideas to general families of algebraic varieties. This is joint work with J. Pila and J. Tsimerman.Date: Friday, February 4, 2022