Current Series

[View Past Series]

Mon Sep 16

Student Number Theory Seminar

3:35pm - Vincent Hall 1
A Brief Introduction to L-Functions
Joe Dickinson

Like Andy's talk last week, this week will be another introductory talk; the topic is L-functions. We will start with a discussion of Dirichlet's use of L-series to show the infinitude of primes in arithmetic progressions, then proceed to how L-functions have become a major area of investigation. We will discuss only a sampling of topics, with the goal of motivating interest and setting the stage for future talks.

Mon Sep 23

Student Number Theory Seminar

3:35pm - Vincent Hall 1
Elliptic Curves
Claire Frechette
Mon Sep 30

Student Number Theory Seminar

3:35pm - Vincent Hall 1
Leading up to Dirichlet’s class number formula
Dev Hegde

The talk will give a historical introduction to number theory leading up to Dirichlet’s class number formula which was one of the biggest achievements of analytic methods in number theory. No background is necessary to understand the talk.

Mon Oct 07

Student Number Theory Seminar

3:35pm - Vincent Hall 1
A Tour of the p-adic Representation Theory of GL_2
Katy Weber

We summarize the classification of representations of GL_2 over a p-adic field, emphasizing the relationship between these representations and automorphic forms and L-functions. Time permitting, we will also discuss Whittaker models of these representations and the Casselman-Shalika formula. This talk is meant to be a sketch of these results and how they fit into the bigger picture, and should be accessible even if you are not very familiar with representation theory.

Mon Oct 14

Student Number Theory Seminar

3:35pm - Vincent Hall 1
Arithmetic Speculation on a Combinatorial Lemma
Eric Stuckey

Reflection groups are an object in classical geometry with deep connections to Lie theory, representation theory, algebraic geometry, invariant theory, and combinatorics. The first half of the talk will give a quick introduction to various flavors of reflection groups. In the second half of the talk I will state a lemma about a restricted class of reflection groups, and discuss an idea for how incorporating cyclotomic fields may allow us to remove that restriction.

Mon Oct 21

Student Number Theory Seminar

3:35pm - Vincent Hall 1
Student Number Theory Seminar
David DeMark
Mon Oct 28

Student Number Theory Seminar

3:35pm - Vincent Hall 1
Student Number Theory Seminar
Adrienne Sands
Mon Nov 04

Student Number Theory Seminar

3:35pm - Vincent Hall 1
Rankin-Selberg Method
May Shengmei
Mon Nov 18

Student Number Theory Seminar

3:35pm - Vincent Hall 1
Student Number Theory Seminar
Emily Tibor
Mon Dec 02

Student Number Theory Seminar

3:35pm - Vincent Hall 1
Student Number Theory Seminar
Henry Twiss