NTS ABSTRACTFall2019: Difference between revisions

From UW-Math Wiki
Jump to navigation Jump to search
Line 26: Line 26:


<br>
<br>
           
</center>

Revision as of 19:47, 19 August 2019

Return to [1]


Sep 5

Will Sawin
The sup-norm problem for automorphic forms over function fields and geometry

The sup-norm problem is a purely analytic question about automorphic forms, which asks for bounds on their largest value (when viewed as a function on a modular curve or similar space). We describe a new approach to this problem in the function field setting, which we carry through to provide new bounds for forms in GL_2 stronger than what can be proved for the analogous question about classical modular forms. This approach proceeds by viewing the automorphic form as a geometric object, following Drinfeld. It should be possible to prove bounds in greater generality by this approach in the future.