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Revision as of 17:34, 7 September 2014
Contents
Sep 02
Lalit Jain 
Monodromy computations in topology and number theory 
The monodromy of a family of varieties is a measure of how homology classes vary. Surprisingly, many familiar ideas in number theory, such as Galois representations and CohenLenstra heuristics, are closely linked to monodromy of specific families. In this talk I will define monodromy, explain some number theoretic applications, and describe original work of computing monodromy for moduli spaces of covers of the projective line (Hurwitz spaces). This work generalizes previous results of AchterPries, Yu and Hall on hyperelliptic families. Only basic knowledge of algebraic topology and number theory is required. 
Sep 09
Megan Maguire 
Infintely many supersingular primes for every elliptic curve over the rationals. 
In his 1987 Inventiones paper, Dr. Noam Elkies proved that every elliptic curve over [math]\mathbb{Q}[/math] has infinitely many supersingular primes. We shall discuss some of the mathematics needed to prove this result and give a proof.

Sep 16
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Sep 23
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Sep 30
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Oct 07
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Oct 14
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Oct 21
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Oct 28
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Nov 04
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Nov 11
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Nov 18
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Nov 25
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Dec 02
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Dec 09
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Organizer contact information
Sean Rostami (srostami@math.wisc.edu)
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