Events for 02/01/2019 from all calendars
Working Seminar on Quantum Groups
Time: 10:30AM - 12:00PM
Location: BLOC 624
Speaker: John Weeks, TAMU
Title: Introduction to CQG
Abstract: We will continue from last week.
Working Seminar in Groups, Dynamics, and Operator Algebras
Time: 2:00PM - 2:50PM
Location: BLOC 628
Speaker: Jintao Deng, Texas A&M University
Title: Topological full groups of one-sided shifts of finite type VIII
Algebra and Combinatorics Seminar
Time: 3:00PM - 3:50PM
Location: BLOC 628
Speaker: Qing Zhang, TAMU
Title: Classification of Super-modular Categories
Abstract: I will explain the connection between topological quantum computing and tensor
categories. The most promising proposal for topological quantum computation is
anyon braiding in 2D topological phases of matter. The algebraic theory of 2D
topological phases corresponds to tensor category theory in a very precise way.
I will focus on super-modular categories, a type of tensor category related to
fermionic topological phases similarly to the way that modular categories are
related to bosonic phases.
Super-modular categories are interesting from a purely mathematical standpoint
as well. For example, any unitary pre-modular category is the
equivariantization of a modular or super-modular category. In this talk, I will
discuss a number of properties of super-modular categories parallel to those of
modular categories. Time permitting, I will also discuss the classification of
super-modular categories of rank 8.
Linear Analysis Seminar
Time: 4:00PM - 5:00PM
Location: BLOC 220
Speaker: Sarah Plosker, Brandon University
Title: On operator-valued measures
Abstract: We consider positive operator-valued measures whose image is the bounded operators acting on an infinite-dimensional Hilbert space, and we relax, when possible, the usual assumption of positivity of the operator-valued measure seen in the quantum information theory literature. We consider integrals of quantum random variables, extending work done by Farenick--Plosker--Smith (2011) to the setting of infinite-dimensional Hilbert space, and develop positive operator-valued versions of a number of classical measure decomposition theorems. This is joint work with D. Mclaren and C. Ramsey.