# Colloquium

The Colloquium is held on Mondays at 4pm in Deady 208.

### Fall Quarter, 2019

- October 21,
**Brittany Erickson** (University of Oregon, CS)
- October 28,
**Phillip Wood** (UC Berkeley)
- November 11,
**Matthew Gursky** (Notre Dame)

Asymptotically hyperbolic Einstein metrics: existence, obstructions, and generalizations
**Abstract**: In this talk I will describe an interesting singular boundary value problem in differential geometry that has important connections to theoretical physics. The basic example of a solution is the Poincare ball model of hyperbolic space, so I will begin by reviewing some well known properties of hyperbolic space as a way of introducing the general boundary value problem. After describing some important existence results, I will spend some time at the end talking about obstructions to solving the problem, and some generalizations of the existence question that have been the focus of considerable attention lately.

- November 25,
**Aaron Lauda** (USC)
- December 10,
**Julie Rowlett** (Chalmers University)

The mathematics of “hearing the shape of a drum”
**Abstract**: Have you heard the question, “Can one hear the shape of a drum?” Do you know the answer? In 1966, M. Kac’s article of the same title popularized the inverse isospectral problem for planar domains. Twenty six years later, Gordon, Webb, and Wolpert demonstrated the answer, but many naturally related problems remain open today. We will discuss old and new results inspired by “hearing the shape of a drum.”

**Previous years:** 2018 2017 2016 2015 2013 2012 2011 2010