Events for 01/24/2018 from all calendars

Number Theory Seminar

Time: 1:15PM - 2:15PM

Location: BLOC 220

Speaker: Matt Young, Texas A&M University

Title: Equidistribution of Eisenstein series

Abstract: I will discuss recent work on the behavior of Eisenstein series on the modular surface, restricted to geodesic segments.

URL: Event link

Noncommutative Geometry Seminar

Time: 2:00PM - 3:00PM

Location: BLOC 628

Speaker: Nigel Higson, Pennsylvania State University

Title: [Colloquium] Asymptotic geometry and continuous spectrum

Abstract: Early in his career, Hermann Weyl examined and solved the problem of decomposing a function on a half-line as a continuous combination of the eigenfunctions of a Sturm-Liouville operator with asymptotically constant coefficients. Weyl's theorem served as inspiration for Harish-Chandra in his pursuit of the Plancherel formula for semisimple groups, and for this and other reasons it continues to be of interest. I'll try to explain the (noncommutative) geometry behind Weyl's theorem and behind the extensions studied by Harish-Chandra. This is joint work with Tyrone Crisp and Qijun Tan.

Noncommutative Geometry Seminar

Time: 3:00PM - 4:00PM

Location: BLOC 628

Speaker: Quanlei Fang, City University of New York

Title: Multipliers of Drury-Arveson space

Abstract: The Drury-Arveson Space, as a Hilbert function space, plays an important role in multivariable operator theory. In this talk we will discuss various properties of multipliers of the Drury-Arveson space.

Hiring Candidate - Dr. Matthias Maier

Time: 4:00PM - 5:00PM

Location: BLOC 220

Speaker: Dr. Matthias Maier, University of Minnesota Twin-Cities

Description:

Abstract:
In the terahertz frequency range, the effective (complex-valued) surface conductivity of atomically thick 2D materials such as graphene has a positive imaginary part that is considerably larger than the real part. This feature allows for the propagation of slowly decaying electromagnetic waves, called surface plasmon-polaritons (SPPs), that are confined near the material interface with wavelengths much shorter than the wavelength of the free-space radiation. SPPs are promising ingredients in the design of novel optical applications promising "subwavelength optics" beyond the diffraction limit. There is a compelling need for controllable numerical schemes which, placed on firm mathematical grounds, can reliably describe SPPs in a variety of geometries.

In this talk we present an adaptive, higher-order finite element approach for the simulation of SPPs on 2D materials and layered structures. Aspects of the numerical treatment such as absorbing perfectly matched layers, local refinement and a-posteriori error control are discussed. We will present a number of applications of the framework to optical device simulations. Corresponding analytical results elucidate the solution structure. We conclude by introducing a homogenization theory of layered heterostructures to design novel devices.

AMUSE

Time: 6:00PM - 7:00PM

Location: BLOC 220

Speaker: Dr. Michael Anshelevich, Texas A&M University, Department of Mathematics

Title: REU Information Session

Abstract: A panel of experts will be available to answer student questions about summer Research Experience for Undergraduates programs.