Events
Department of Mathematics and Statistics
Texas Tech University
In this joint work with Rodrigo Treviño we consider the Lorentz gas model of category A (that is, with no corners and of finite horizon) on aperiodic repetitive tilings of $\mathbb{R}^2$ of finite local complexity. We show that the compact factor of the collision map has the K property, from which we derive mixing for pattern-equivariant functions as well as the planar ergodicity of the Lorentz gas flow.
Dr. Zelerowicz' Job Candidate Colloquium is sponsored by the PDGMP seminar group, and you are invited to attend Wednesday the 10th at 1:30 PM CST (UT-6) via this Zoom link.
Abstract details available at this pdf
This Job Colloquium is sponsored by the Applied Math seminar group. Please virtually attend Wednesday the 10th at 4 PM CST (UT-6) via this Zoom link.
The Navier-Stokes and Euler equations are the fundamental models for describing viscous and inviscid fluids, respectively. Based on ideas which date back to Kolmogorov and Onsager, solutions to these equations are expected to dissipate energy, which in turn suggests that such solutions are somewhat rough and thus only weak solutions. At these low regularity levels, however, one may construct wild weak solutions using convex integration methods. In this talk, I will discuss the motivation and methodology behind joint work with Tristan Buckmaster, Nader Masmoudi, and Vlad Vicol in which we construct wild solutions to the Euler equations which deviate from the predictions of Kolmogorov's classical K41 phenomenological theory.
Dr. Novack's Job Colloquium is sponsored by the Applied Math seminar group. Please virtually attend via this Zoom link.
We extend recently obtained sharp bounds for ratios of zero-balanced hypergeometric
functions to the general $k$-balanced case, $k\in\mathbb{N}$. We also discuss the absolute monotonicity
of generalizations of previously studied functions involving generalized complete elliptic integrals.
To join the talk on Zoom please click
here.
 | Tuesday
Nov. 9
3:30 PM
MATH 016
|
| Real-Algebraic Geometry
Affine Schemes
David Weinberg
Department of Mathematics and Statistics, Texas Tech University
|
N/A
Abstract pdf
This Biomath seminar may be attended Tuesday the 9th at 3:30 PM CST (UT-6) via this Zoom link. Meeting ID: 839 9465 7333 Passcode: BfriM6
First, we state a conformal Gauss-Bonnet theorem for four-manifolds with corners. Then we review the definition of the renormalized volume of asymptotically hyperbolic Einstein metrics, which came from the AdS/CFT correspondence in physics; and review the Gauss-Bonnet theorem for such manifolds in the ordinary case. We then state a new Gauss-Bonnet formula for half of an asymptotically hyperbolic Einstein space that has been partitioned into two by a minimal surface and use this to derive a variation formula for its renormalized volume under variations of the minimal surface. The latter two results are joint work with Matthew J. Gursky and Aaron J. Tyrrell.
Attend in person in the Math building or watch online Wednesday the 10th at 3 PM via this Zoom link.
Fekete polynomials play an important role in the study of special
values of L-functions. While their analytic properties are
well-studied in the literature, little is known about their
arithmetics. In this talk, we will discuss some surprising
arithmetical properties of these polynomials. In particular, we will
see that Fekete polynomials contain some rich information about the
class numbers of quadratic fields. This is based on joint work with
Jan Minac and Nguyen Duy Tan.
Join the seminar via this Zoom link
Frank Fabozzi, Emeritus Professor of Finance, EDHEC Business School, Nice
will moderate an industry panel discussing the transition from a mathematics background to a career in asset management.
The panelists will be:
- Dr. Stoyan Stoyanov, Director of Equity Research, Charles Schwab
- Dr. Joseph Simonian, Founder and CIO of Autonomous Investment Technologies
- Dr. Wesley Phoa, Senior Vice President, Capital Group