
Thu 5 Mar 2015, 3:30pm
Number Theory Seminar
room MATH 126


room MATH 126
Thu 5 Mar 2015, 3:30pm4:30pm
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, 3:30pm4:30pm
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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Thu 19 Mar 2015, 3:30pm
Number Theory Seminar
room MATH 126


room MATH 126
Thu 19 Mar 2015, 3:30pm4:30pm
Abstract
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UBC

Thu 26 Mar 2015, 3:30pm
Number Theory Seminar
room MATH 126

TBA

room MATH 126
Thu 26 Mar 2015, 3:30pm4:30pm
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, 3:30pm4:30pm
Abstract
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