Events for 10/27/2017 from all calendars
Working Seminar on Quantum Computation and Quantum Information
Time: 10:30AM - 11:30AM
Location: BLOC 628
Speaker: Michael Brannan, TAMU
Title: Finite input/output games, strategies, correlations, and related operator algebras. (Part 2)
Abstract: This is a continuation from the previous lecture: Over the next two lectures, I will present the basic notions around two player finite input/output games, strategies (deterministic, probabilistic, winning etc...), and the various correlation matrices that arise. We will then focus on the class of synchronous games and the relation between perfect strategies and the existence of certain tracial states on a universal associated to the game. We will follow section 9.4 thru Chapter 10 in the following notes: http://www.math.uwaterloo.ca/~vpaulsen/EntanglementAndNonlocality_LectureNotes_7.pdf
Mathematical Physics and Harmonic Analysis Seminar
Time: 1:50PM - 2:50PM
Location: BLOC 628
Speaker: Yulia Meshkova, Chebyshev Laboratory, St.Petersburg State University
Title: Homogenization of periodic hyperbolic systems with the corrector
URL: Event link
Algebra and Combinatorics Seminar
Time: 3:00PM - 3:50PM
Location: BLOC 117
Speaker: Laura Colmenarejo, York University
Title: Factorization formulas for singular Macdonald polynomials
Abstract: We prove some factorization formulas for singular Macdonald polynomials indexed by particular partitions called quasistaircases. We also show some applications of these factorizations and some conjectures we are working on. This is joint work with Charles F. Dunkl and Jean-Gabriel Luque.
Geometry Seminar
Time: 4:00PM - 5:00PM
Location: BLOC 628
Speaker: Xiaoxian Tang, TAMU
Title: Investigating multistationarity in structured reaction networks
Abstract: Many dynamical systems arising in applications exhibit multistationarity (two or more positive steady states), but it is often difficult to determine whether a given system is multistationary, and if so to identify a witness to multistationarity, that is, specific parameter values for which the system exhibits multiple steady states. Here we investigate both problems. We prove two new sufficient conditions for multistationarity: (1) when there are no boundary steady states and a certain critical function changes sign, and (2) when the steady-state equations can be replaced by equivalent triangular-form equations. We also investigate the mathematical structure of this critical function, and give conditions that guarantee that triangular-form equations exist.
Linear Analysis Seminar
Time: 4:00PM - 5:00PM
Location: BLOC 220
Speaker: Michael Brannan, TAMU
Title: Amenable quantum groups are not always unitarizable
Abstract: A well-known theorem of Day and Dixmier from around 1950 states that if G is an amenable locally compact group, then any uniformly bounded representation of G on a Hilbert space is similar to a unitary representation. In short, amenable groups are ``unitarizable''. In this talk, I will focus on the question of whether a version of the Day-Dixmier unitarizability theorem holds in the more general framework of locally compact quantum groups. It turns out that the answer to this question is no: In joint work with Sang-Gyun Youn (Seoul National University), we show that many amenable quantum groups (including all Drinfeld-Jimbo-Woronowicz q-deformations of classical compact groups) admit non-unitarizable uniformly bounded representations.