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# Events for October 27, 2017 from General and Seminar calendars

## Working Seminar on Quantum Computation and Quantum Information

**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

## Algebra and Combinatorics Seminar

**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

**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

**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.

**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)*

**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**: (dead link) http://www.math.tamu.edu/~comech/talks/Meshkova_Yulia_sine_talk.pdf

**Time:** 3:00PM - 3:50PM

**Location:** BLOC 117

**Speaker:** Laura Colmenarejo, York University

**Title:** *Factorization formulas for singular Macdonald polynomials*

**Time:** 4:00PM - 5:00PM

**Location:** BLOC 628

**Speaker:** Xiaoxian Tang, TAMU

**Title:** *Investigating multistationarity in structured reaction networks*

**Time:** 4:00PM - 5:00PM

**Location:** BLOC 220

**Speaker:** Michael Brannan, TAMU

**Title:** *Amenable quantum groups are not always unitarizable*