Joint IAS/Princeton University Number Theory Seminar

The importance of the subconvexity problem is well-known. In this talk, I will discuss a new approach to establish subconvex bounds for automorphic L-functions. The method is based on adopting the circle method to separate oscillatory factors involved in the L-function. This has proved to be quite effective in dealing with a broad class of subconvexity problems, including some involving degree three L-functions. I will also mention some new applications of this method.