NTS ABSTRACTFall2019: Difference between revisions

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== Sep 5 ==
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{| 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
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| 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.
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== 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.