# AMS Student Chapter Seminar

The AMS Student Chapter Seminar is an informal, graduate student-run seminar on a wide range of mathematical topics. Pastries (usually donuts) will be provided.

Everyone is welcome to give a talk. To sign up, please contact one of the organizers with a title and abstract. Talks are 30 minutes long and should avoid assuming significant mathematical background beyond first-year graduate courses.

The schedule of talks from past semesters can be found here.

## Spring 2019

### February 6, Xiao Shen (in VV B139)

Title: Limit Shape in last passage percolation

Abstract: Imagine the following situation, attached to each point on the integer lattice Z^2 there is an arbitrary amount of donuts. Fix x and y in Z^2, if you get to eat all the donuts along an up-right path between these two points, what would be the maximum amount of donuts you can get? This model is often called last passage percolation, and I will discuss a classical result about its scaling limit: what happens if we zoom out and let the distance between x and y tend to infinity.

### February 13, Michel Alexis (in VV B139)

Title: A cute useless theorem about random Fourier Series

Abstract: Consider a Fourier series with random, symmetric, independent coefficients. With what probability is this the Fourier series of a continuous function? An $\displaystyle{ L^{p} }$ function? A surprising yet beautiful result is the Billard theorem, which says such a series results almost surely from an $\displaystyle{ L^{\infty} }$ function if and only if it results almost surely from a continuous function. Within the context of this theorem, we will discuss why the only independent symmetric, random variables which matter are essentially coin flips (Bernoulli trials), and if time permits, I will explain why this theorem is useless.

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### March 6, Working Group to establish an Association of Mathematics Graduate Students

Title: Math and Government

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