Number Theory Seminar
Yifeng Liu
MIT
Height paring of special divisors on unitary Shimura curves
Abstract: In this talk, I will introduce a class of divisors on Shimura
curves associated to certain unitary groups, which consist of the unitary
version of the Heegner points. The idea comes from the theta lifting, a key
construction in the theory of automorphic representations. We show that the
height of those divisors is related to the central L-derivative of
automorphic forms of unitary groups of 2 variables. In fact, these
construction and relation can be generalized to unitary groups of higher
ranks, which correspond to higher dimensional Shimura varieties, as well. A
precise formulation of the height formula will be given.
Please note new time.
Tuesday December 4, 2012 at 4:00 PM in SEO 636