Venue: Lecture Hall of IASM, ZJU

Time: 15:00-17:00, December 31

Speaker: Tony Feng (UC Berkeley)

Title: Higher Theta Functions Over Function Fields

15:00 - 15:45  Pre-talk: I will introduce background on theta functions and shtukas which will be helpful for understanding the main talk. This should be accessible to senior undergraduates and graduate students. 

16:00 - 17:00 Abstract：The theory of theta functions and arithmetic theta functions is used classically to access the special values and special derivatives of automorphic L-functions. In joint work with Zhiwei Yun and Wei Zhang, we have constructed a theory of higher theta functions over function fields, which we expect to give access to higher derivatives of automorphic L-functions in terms of arithmetic geometry. This has led us, also partly jointly with Adeel Khan, to unexpected and fruitful connections between theta functions, derived algebraic geometry and motivic homotopy theory.