# Events for October 19, 2017 from General and Seminar calendars

## Postdoc Lunch Time Talks

**Time:** 12:00PM - 12:20PM

**Location:** BLOC 220

**Speaker:** Shilin Yu, Texas A&M University

**Description:**Title: Representations of Lie groups

Abstract: A representation of a group G is a vector space with a G acting by linear automorphisms. Classification of representations of Lie groups has important applications in geometry, harmonic analysis and number theory. I will review the basics and illustrate it with an example. Then I will propose a new geometric way to understand the representations.

## Postdoc Lunch Time Talks - Computing Discriminants of Likelihood Equations

**Time:** 12:35PM - 12:55PM

**Location:** BLOC 220

**Speaker:** Xiaoxian Tang, Texas A&M University

**Description:**Computing Discriminants of Likelihood Equations

Abstract: Maximum likelihood estimation (MLE) is a fundamental problem in statistics. All the complex critical points of a given statistical model can be found by solving a very well-structured system of likelihood equations. Computing the discriminant of the system is the key step to classify the real critical points. Based on the known elimination and probabilistic interpolation algorithms, we explore an more efficient method to compute discriminant s by the structures of Newton polytopes.