On the Sup-Norm of Maass Forms of Large Level

ANALYTIC AND GEOMETRIC NUMBER THEORY SEMINAR
Topic:On the Sup-Norm of Maass Forms of Large Level
Speaker:Nicolas Templier
Date:Thursday, February 4
Time/Room:2:00pm - 3:00pm/S-101

We discuss the question of quantitative bounds on the sup-norm of automorphic cusp forms. We present an improvement on a recent result by Blomer-Holowinsky on Hecke-Maass forms on $X_0(N)$ with large level $N$. Analogous results are then established for all compact arithmetic surfaces by a geometric approach.