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# Events for 09/06/2019 from all calendars

## Probability Seminar

## Mathematical Physics and Harmonic Analysis Seminar

## Student/Postdoc Working Geometry Seminar

## Algebra and Combinatorics Seminar

**Time:** 11:30AM - 12:30PM

**Location:** BLOC 628

**Speaker:** Boris Hanin, TAMU

**Title:** *Products of Many Large Random Matrices*

**Abstract:** I will present some recent joint work with Mihai Nica (Toronto) and ongoing work with Grigoris Paouris (Texas A&M) about products of N independent matrices of size n x n in the regime where both the size n and the number of terms N tends to infinity. I will discuss in particular the work in progress with Paouris that gives finite size corrections to the multiplicative ergodic theorem regime in which the N is much larger than n.

**Time:** 1:50PM - 2:50PM

**Location:** BLOC 628

**Speaker:** Robert Booth, Texas A&M University

**Title:** *Almost Global Existence for Asymptotically Euclidean Quasilinear Wave Equations*

**Abstract:** In this talk, we will discuss a recent result demonstrating almost global existence for a class of non-trapping asymptotically Euclidean quasilinear wave equations with small initial data. A novel feature is that the wave operator may be a large perturbation of the usual D'Alembertian operator. The solution is constructed via an iteration argument based on local energy estimates for an appropriately linearized version of our wave equation. Techniques used to develop the key local energy estimate include microlocal analysis, Carleman estimates, and positive commutator arguments.

**Time:** 2:00PM - 3:00PM

**Location:** BLOC 624

**Speaker:** E. Ventura, TAMU

**Title:** *Strict inclusions of high rank loci*

**Time:** 3:00PM - 3:50PM

**Location:** BLOC 628

**Speaker:** Dustin McPhate, Texas A&M University

**Title:** *Resolutions for truncated Ore extensions*

**Abstract:** We begin by introducing the notions of a twisted tensor product of algebras and the class of algebras known as Ore extensions. We will then develop a method for constructing projective resolutions for modules over a certain class of twisted tensor products. We do this by first taking note of the conditions necessary to think of these algebras as a type of Ore extension and then use this parallel to extend recent results.

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