Difference between revisions of "NTS ABSTRACTFall2019"

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Return to [https://www.math.wisc.edu/wiki/index.php/NTS ]
 
Return to [https://www.math.wisc.edu/wiki/index.php/NTS ]
  
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== Sep 5 ==
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<center>
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{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"
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|-
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| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Will Sawin'''
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|-
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| bgcolor="#BCD2EE"  align="center" |  The sup-norm problem for automorphic forms over function fields and geometry
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|-
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| bgcolor="#BCD2EE"  |
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The sup-norm problem is a purely analytic question about
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automorphic forms, which asks for bounds on their largest value (when
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viewed as a function on a modular curve or similar space). We describe
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a new approach to this problem in the function field setting, which we
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carry through to provide new bounds for forms in GL_2 stronger than
 +
what can be proved for the analogous question about classical modular
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forms. This approach proceeds by viewing the automorphic form as a
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geometric object, following Drinfeld. It should be possible to prove
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bounds in greater generality by this approach in the future.
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|}                                                                       
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</center>
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<br>
  
 
== Sep 5 ==
 
== Sep 5 ==

Revision as of 08:53, 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.