Vortrag am

Donnerstag, 3.12.2015

Ivan Blanco-Chacon, Dublin

"A p-adic Gross-Zagier formula for Hilbert modular forms


We compute the Abel Jacobi map of the product of a Hilbert modular surface Y and a modular curve X00(N) at a modified embedding in it of this curve, evaluated on a Hilbert cuspidal form of parallell weight (2; 2) and a modular form of weight two. We give a Gross-Zagier type formula expressing this value, up to an Euler factor, as special value of an L-function depending of the parameters of a Hida family of modular forms and another one of Hilbert modular forms