NTS ABSTRACTFall2019: Difference between revisions
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== Sep 5 == | |||
<center> | |||
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20" | |||
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| 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 and geometry | |||
|- | |||
| bgcolor="#BCD2EE" | | |||
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. | |||
|} | |||
</center> | |||
<br> | |||
== Sep 5 == | == Sep 5 == |
Revision as of 14:53, 7 September 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. |
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. |