Thursday, February 10
Milner 317, 1:00 PM
Title: The subconvexity problem for Rankin-Selberg L-functions and equidistribution of Heegner points
Abstract: In joint work with Michel we recently established a general subconvex estimate for classical Rankin-Selberg L-functions in the level aspect, thereby completing a program initiated by Kowalski, Michel and Vanderkam. A particularly difficult case that needs to be considered and is now covered involves a fixed Maass cusp form of small Laplacian eigenvalue and a varying cusp form whose nebentypus character is of large conductor. The new estimate can be applied in various situations for the equidistribution of short Galois orbits of Heegner points.