Events for 11/11/2009 from all calendars
Number Theory Seminar
Time: 1:45PM - 2:45PM
Location: MILN 317
Speaker: Simon Marshall, Princeton University
Title: Holomorphic QUE for Hilbert modular varieties
Abstract: Recently, Holowinsky and Soundararajan have proven that the L^2 mass of a sequence of holomorphic Hecke eigenforms of large weight on SL(2,Z) becomes equidistributed, settling a case of the quantum unique ergodicity conjecture of Rudnick and Sarnak. I will present a generalization of their work to holomorphic forms on noncompact Hilbert modular varieties over any totally real field, or more generally, automorphic forms of cohomological type on GL(2) over any number field. I will also give an application of the result in the holomorphic case to the equidistribution of zero divisors of modular forms.
Numerical Analysis Seminar
Time: 3:00PM - 4:00PM
Location: BLOC 627
Speaker: Benjamin Stamm, Brown University
Title: Reduced Basis Method for the parametrized Electrical Field Integral Equation (EFIE)
Abstract: The subsequent discretization of the EFIE is a common approach to solve scattering problems on unbounded domains which is known as the Boundary Element Method (BEM) or Method of Moments (Mom). In many applications, such as optimization, shape recognition or inverse problems, just to mention a few, solving the Boundary Element Method for each new parameter value is too expensive (and unnecessary).
The Reduced Basis Method is accurate, efficient and trustable algorithm in the framework of parametrized problems and in a many-query context. We will present how the Reduced Basis Method is applied to parametrized scattering problems. The novelty is that for the first time the Reduced Basis Method is applied to an integral equation. We will discuss the challenges and present numerical examples.
Analysis/PDE Reading Seminar
Time: 4:00PM - 5:00PM
Location: MILN317
Speaker: Andrew Comech, Texas A&M University
Title: Scattering Theory and Nonlinear Waves
Abstract: We continue studying the connection between Schroedinger equation and KdV. This time, we discuss the Riemann-Hilbert problem.
First Year Graduate Student Seminar
Time: 5:30PM - 6:30PM
Location: Blocker 628
Title: