Tonghai Yang (Wisconsin)

Title: Arithmetic Intersection and Chowla-Selberg formula

Abstract: In this talk, I will explain some interesting intersection formula between Hirzebruch-Zagier divisors and CM cycles on a Hilbert modular surface over Z, and its applications. Among the applications are a non-abelian generalization of the well-known Chowla-Selberg formula as reformulated by Colmez, and a conjecture of Lauter on CM values of Igusa invariants.