2:00 pm Thursday, February 5, 2009
Algebra, Number Theory, and Combinatorics Seminar: Bounding sup-norms of cusp forms by Valentin Blomer (University of Toronto) in RLM 9.166
The talk centers around the following question: given an L2-normalized function f on a modular curve X_0(N), what can be said about pointwise bounds for f, that is, the sup-norm of f? For Hecke eigenforms, we will prove the first non-trivial bound in terms of the level N as well as hybrid bounds in terms of the level and the Laplacian eigenvalue. Similar techniques work for functions on other spaces, e.g. quotients of quaternion algebras. This is joint work with R. Holowinsky. Submitted by
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