About us

Welcome to the home page of the Mathematics Graduate Student Organization (MGSO) at Texas A&M University in College Station. The purpose of this organization is to encourage communication among students, faculty, and staff, and contribute to a rich social life in the department through cultural and scientific dialogue. We would also like to provide an environment where students in the mathematics department can practice their presentation skills as well as view the techniques of others. It is our goal to be a source of support and information for all graduate students.

The main activity of the MGSO is the Graduate Student Seminar. This seminar is for grad students, (largely) by grad students: Volunteer to give a talk!

Seminar: Spring 2020, Wednesdays, Blocker 628, 4:00-4:50 PM (VIA ZOOM AS OF 3-20! SEE EMAIL FOR INVITE LINK!)


Next Talk

Speaker:   Patricia Alonso Ruiz  

Title:   The perimeter of a fractal: Heat semigroup approach to isoperimetric inequalities in metric measure spaces

Time / Date:   4:00 - 5:00 , March 20

Abstract

The classical isoperimetric problem consists in finding among all sets with the same volume (measure) the one that minimizes the surface area (perimeter measure). In the Euclidean case, balls are known to solve this problem. To formulate the isoperimetric problem, or an isoperimetric inequality, in more general settings, requires in particular a good notion of perimeter measure.

In this talk we will review how sets of finite perimeter can be described using the heat semigroup associated to a stochastic process in the space. This approach, original to Ledoux, put in connection isoperimetric problems and functions of bounded variation (BV) via heat semigroups.

We will follow these ideas to develop a natural definition of BV functions and sets of finite perimeter on metric measure spaces. In particular, we will obtain corresponding isoperimetric inequalities in fractals such as (infinite) Sierpinski gaskets and carpets. The results are part of joint work with F. Baudoin, L. Chen, L. Rogers, N. Shanmugalingam and A. Teplyaev.