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Texas A&M University
Mathematics

Events for 02/01/2019 from all calendars

Working Seminar on Quantum Groups

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Time: 10:30AM - 12:30PM

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

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Time: 2:00PM - 2:00PM

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

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Time: 3:00PM - 3:00PM

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

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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.

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