Events for 03/27/2015 from all calendars
Working Seminar on Banach and Metric Spaces
Time: 10:30AM - 11:30AM
Location: BLOC 220
Speaker: TBA
Title:
Mathematical Physics and Harmonic Analysis Seminar
Time: 1:50PM - 2:50PM
Location: BLOC 628
Speaker: Jared Wunsch, Northwestern University
Title: High frequency estimates for the Helmholtz equation with applications to boundary integral equations.
Abstract: I will discuss joint work with Dean Baskin and Euan Spence on high frequency estimates for the Helmholtz equation in exterior domains as well as for the interior impedance problem. Motivations for these estimates comes from certain problems in numerical analysis.
Algebra and Combinatorics Seminar
Time: 3:00PM - 3:50PM
Location: BLOC 628
Speaker: Sherilyn Tamagawa, UC Santa Barbara
Title: Quandles of Virtual Knots
Abstract: We will explore algebraic invariants on a special class of knots, known as virtual knots. Our main focus will be on quandles, an algebraic structure which serves as a perfect knot invariant, but is usually impossible to compute. We construct new invariants by taking quotients of quandles, and introduce a variation on the Alexander polynomial.
Linear Analysis Seminar
Time: 4:00PM - 5:00PM
Location: BLOC 220
Speaker: Da Zheng, University of Houston
Title: The Operator System Generated by Cuntz Isometries
Abstract: In this talk, we will consider the operator system Sn, for n greater than 2, generated by isometries s1,...,sn satisfying the Cuntz relation: s1s1* +...+ snsn*=I. We will exhibit an operator system En ⊆ Mn living in the n by n matrices and prove that Sn is completely order isomorphic to a quotient of En. Next, we will study tensor products of Sn and examine the various notions of nuclearity of Sn in the category of operator systems. Finally, some open problems are discussed.
Geometry Seminar
Time: 4:00PM - 5:00PM
Location: Bloc 628
Speaker: Martha Precup, Baylor University
Title: Regular Hessenberg varieties and generalized exponents
Abstract: Hessenberg varieties are closed subvarieties of the full flag variety. In this talk, we will show that regular Hessenberg varieties are irreducible. The Betti numbers of these varieties count certain subsets of positive roots. Using these subsets, we will define natural numbers that generalize the exponents of Sn in type A and discuss some geometric questions that follow from this construction.