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 Events
TBA
Thu 5 Mar 2015, 3:30pm
Number Theory Seminar
room MATH 126
room MATH 126
Thu 5 Mar 2015, 3:30pm-4:30pm

Abstract

 
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Colorado State University
Thu 12 Mar 2015, 3:30pm
Number Theory Seminar
room MATH 126
Local heuristics and exact formulas for elliptic curves over finite fields
room MATH 126
Thu 12 Mar 2015, 3:30pm-4:30pm

Abstract

An isogeny class of elliptic curves over a finite field is determined by a quadratic Weil polynomial. Gekeler has given a beautiful product formula, purely in terms of congruence considerations involving that polynomial, for the size of such an isogeny class; an equidistribution hypothesis too strong to be true apparently calculates this cardinality.
 
I will give a new, transparent explanation, worked out with Julia Gordon, for this phenomenon. It turns out that Gekeler's formula computes an adelic orbital integral which, thanks to work of Langlands and Kottwitz, visibly calculates the desired quantity.
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TBA
Thu 19 Mar 2015, 3:30pm
Number Theory Seminar
room MATH 126
room MATH 126
Thu 19 Mar 2015, 3:30pm-4:30pm

Abstract

 
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Subhajit Jana
UBC
Thu 26 Mar 2015, 3:30pm
Number Theory Seminar
room MATH 126
TBA
room MATH 126
Thu 26 Mar 2015, 3:30pm-4:30pm

Abstract

 
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UCLA
Thu 21 May 2015, 3:30pm
Number Theory Seminar
room MATH 126
TBA
room MATH 126
Thu 21 May 2015, 3:30pm-4:30pm

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