Difference between revisions of "NTS ABSTRACTFall2019"
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| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Will Sawin''' | | bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Will Sawin''' | ||
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− | | bgcolor="#BCD2EE" align="center" | The sup-norm problem for automorphic forms over function fields | + | | bgcolor="#BCD2EE" align="center" | The sup-norm problem for automorphic forms over function fields and geometry |
− | and geometry | ||
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− | | bgcolor="#BCD2EE" | The sup-norm problem is a purely analytic question about | + | | bgcolor="#BCD2EE" | |
+ | The sup-norm problem is a purely analytic question about | ||
automorphic forms, which asks for bounds on their largest value (when | automorphic forms, which asks for bounds on their largest value (when | ||
viewed as a function on a modular curve or similar space). We describe | viewed as a function on a modular curve or similar space). We describe |
Revision as of 13:39, 19 August 2019
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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. |