Events for 04/01/2015 from all calendars

Number Theory Seminar

Time: 1:45PM - 2:45PM

Location: BLOC 220

Speaker: Yueke Hu, University of Wisconsin

Title: Local triple product integral and applications to subconvexity bound and mass equidistribution

Abstract: The triple product formula relates a global period integral with the special value of triple product L-function and local integrals at ramified places. Before my work, not much was known for the local integrals with ramifications. But they are important for many applications. I will talk about my work on explicit computation or upper bound of the local integrals for very general ramifications. Such results can be applied to prove the subconvexity bound of triple product L-function in level aspect, and mass equidistribution on modular curve of level N.

URL: Event link

Noncommutative Geometry Seminar

Time: 2:00PM - 2:50PM

Location: BLOC 628

Speaker: Ken Dykema, Texas A&M University

Title: Perturbation formulas for traces on normed ideals

Abstract: Trace perturbation formulas are expressions for $\tau(f(H_0+V)-f(H_0))$ where $\tau$ is a trace, $H_0$ and $V$ are operators ($H_0$ is often allowed to be unbounded) and $f$ is a function belonging to a suitable class. The classical case, where $\tau$ is the classical trace on $B(\mathcal{H})$ and $V$ is a trace-class operator, was considered by Krein. We prove analogous results, for $\tau$ a trace on an ideal $\mathcal{I}$ of operators, with $V\in\mathcal{I}$. We will also discuss higher order perturbation formulas.

Numerical Analysis Seminar

Time: 3:00PM - 4:00PM

Location: BLOC 628

Speaker: Dr. Francisco-Javier Sayas, U. Delaware

Title: Interfacing FEM and BEM for transient acoustic equations

Abstract: This seminar presents a simple numerical strategy to discretize a transmission problem in scattering of acoustic waves by non-homogeneous obstacles. The method uses a traditional Finite Element scheme with time-stepping for the interior of the obstacles and Convolution Quadrature Boundary Element Methods for the unbounded exterior domain. After presenting the method and stating the main results, I will spend some time trying to convey the mathematical techniques used for the analysis: they are based on simple results on the theory of evolution equations and on some exotic transmission conditions that describe variationally the effect of Galerkin FEM-BEM discretization.

Groups and Dynamics Seminar

Time: 3:00PM - 4:00PM

Location: BLOC 220

Speaker: Volodymyr Nekrashevych, Texas A&M University

Title: Growth of etale groupoids and simple algebras

Abstract: We will discuss growth and complexity of etale groupoids in relation to growth of their convolution algebras. As an application, we construct simple finitely generated algebras of arbitrary Gelfand-Kirillov dimension $\ge 2$ and simple finitely generated algebras of quadratic growth over arbitrary fields.

Noncommutative Geometry Seminar

Time: 4:00PM - 5:00PM

Location: BLOC 628

Speaker: Roger Howe, Yale University

Title: Four stages of classical invariant theory (I)

Abstract: "Classical" invariant theory, as described by Hermann Weyl in his book, The Classical Groups , has seen very substantial progress since Weyl wrote. These talks will survey four stages of development in the theory, of which the fourth stage is currently unfolding. A key role is played by the Weyl algebra, which was introduced by Weyl in his discussions of quantum mechanics, but not used by him in invariant theory. The main ideas used are from representation theory, The talks will include a summary of relevant notions from representation theory.

AMUSE

Time: 6:00PM - 7:00PM

Location: BLOC 117

Speaker: Patrick Laycock, Aon Hewitt

Title: Careers at Aon Hewitt: Pension Administration Consulting.

Abstract: Aon Hewitt’s Retirement and Financial Management practice would like to present to you our career opportunities in the Pension Administration Consulting field that focus heavily on math skills. We are always looking for candidates with strong math and analytical skills who are also able to communicate well with clients and their participants as well as works successfully in a team environment. Our Pension Administration Specialist role is responsible for such tasks as pension system design and testing, data analysis/scrubbing, pension calculations, payment instructions and reconciliations, participant interaction and legislative and design consulting. We are currently looking to fill two summer internships as well as two full-time positions on our campus located in The Woodlands, TX (just north of Houston).