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  
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| 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  
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| bgcolor="#BCD2EE"  |  
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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 14:39, 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.


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