| 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.