NTSGrad Fall 2015/Abstracts

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 Cohen-Lenstra 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 Achter-Pries, 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.
ABSTRACT	In his 1987 Inventiones paper, Dr. Noam Elkies proved that every elliptic curve over [math]\displaystyle{ \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 SPEAKER TITLE ABSTRACT Sep 23 SPEAKER TITLE ABSTRACT Sep 30 SPEAKER TITLE ABSTRACT Oct 07 SPEAKER TITLE ABSTRACT Oct 14 SPEAKER TITLE ABSTRACT Oct 21 SPEAKER TITLE ABSTRACT Oct 28 SPEAKER TITLE ABSTRACT Nov 04 SPEAKER TITLE ABSTRACT Nov 11 SPEAKER TITLE ABSTRACT Nov 18 SPEAKER TITLE ABSTRACT Nov 25 SPEAKER TITLE ABSTRACT Dec 02 SPEAKER TITLE ABSTRACT Dec 09 SPEAKER TITLE ABSTRACT Organizer contact information Sean Rostami (srostami@math.wisc.edu) Return to the Number Theory Graduate Student Seminar Page Return to the Number Theory Seminar Page Return to the Algebra Group Page