Time: 16:00-17:00, Wednesday, May 14 

Title: A new proof of the arithmetic Siegel–Weil formula

Speaker: Yu Luo 罗渝 (University of Wisconsin–Madison)

Abstract: The arithmetic Siegel–Weil formula establishes a profound connection between intersection numbers in Shimura varieties and the Fourier coefficients of central derivatives of Eisenstein series. This result was proven by C. Li and W. Zhang in 2021 using local methods. In this talk, I will present a new proof of the formula that uses the local-global compatibility and the modularity of generating series of special divisors.