
Date Time 
Location  Speaker 
Title – click for abstract 

09/29 10:30am 
BLOC 628 
Michael Brannan TAMU 
Introduction and organizational meeting 

10/06 10:30am 
BLOC 628 
Michael Brannan TAMU 
Finite input/output games, strategies, correlations, and related operator algebras.
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 

10/27 10:30am 
BLOC 628 
Michael Brannan TAMU 
Finite input/output games, strategies, correlations, and related operator algebras. (Part 2)
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 

11/03 10:30am 
BLOC 628 
Ken Dykema TAMU 
Synchronous correlation matrices and Connes' Embedding Problem.
We show that Connes' Embedding Problem is equivalent to the question regarding synchornous quantum correlations, of whether the closure of $C_q^s(n,k)$ equals $C_{qc}^s(n,k)$ for all $n$ and $k$. The proof goes, in one direction, using Kirchberg's unitary moment approximation condition and in the other by use of matricial microstates to construct finite dimensional representatios. (Joint work with Vern Paulsen). 