|JOINT PU/IAS NUMBER THEORY SEMINAR|
|Topic:||The Subconvexity Bounds for L-Functions|
|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.