|ANALYTIC AND GEOMETRIC NUMBER THEORY SEMINAR|
|Topic:||On the Sup-Norm of Maass Forms of Large Level|
|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.