Heights of special divisors on orthogonal Shimura varieties

Seminar: 
Algebra and Number Theory Seminar
Event time: 
Tuesday, September 16, 2014 - 12:30pm to Monday, September 15, 2014 - 8:00pm
Location: 
LOM 205
Speaker: 
Keerthi Madapusi Pera
Speaker affiliation: 
University of Chicago
Event description: 

The Gross-Zagier formula relates two complex numbers obtained in seemingly very disparate ways: The Neron-Tate height pairing between Heegner points on elliptic curves, and the central derivative of a certain automorphic L-function of Rankin type. I will explain a variant of this in higher dimensions. On the geometric side, the intersection theory will now take place on Shimura varieties associated with orthogonal groups. On the analytic side, we will find Rankin-Selberg L-functions involving modular forms of half-integral weight. This is joint work with Fabrizio Andreatta, Eyal Goren and Ben Howard.