The Subconvexity Bounds for L-Functions

JOINT PU/IAS NUMBER THEORY SEMINAR
Topic:The Subconvexity Bounds for L-Functions
Speaker:Xiaoqing Li
Affiliation:SUNY, Buffalo
Date:Thursday, February 7
Time/Room:4:30pm - 5:30pm/Fine Hall -- 214

For a general L-function, the bound on its critical line obtained by applying the Phragmen-Lindeloff interpolation method is called the convexity bound. Any bounds with a power saving of the convexitybound are called subconvexity bounds. In this talk we will give the first subconvexity bounds for GL(3) L-functions as well as for GL(3) x GL(2) L-functions. Our methods also recover the subconvexity bounds for GL(2) L-functions in the eigenvalue aspect.