Eyal Goren (McGill).
I will describe significant progress towards proving a conjecture of
Bruinier-Yang concerning intersection of CM points and special divisors on
Shimura varieties of orthogonal type. The conjecture is a vast generalization
of the theorem of Gross-Zagier on singular moduli. This is joint work
with Andreatta (Milano), Howard (Boston College) and Madapusi-Pera (Harvard).