Friday, November 27, 2020 — 1:00 PM EST

Michael Brannan, Texas A&M University

"Quantum symmetries of graphs"

Given a finite graph X, a fundamental question that one can ask about the structure of X is:  "What are its symmetries?"  Most of the time, when we think of symmetries of X, we think of the usual automorphism group of X.  In this talk, I will describe a more general notion of symmetry of graphs, called quantum symmetries.  Quantum symmetries of graphs arise quite naturally from the perspective of non-commutative geometry, and are encoded by a certain universal Hopf algebra (i.e., quantum group) co-acting on the algebra of functions on the vertex set of the graph.  My goal in this talk will be to give a light introduction to all of these objects, and to explain why they are interesting from a variety of mathematical perspectives (e.g., representation theory, quantum information theory, and operator algebras).

A post-colloquium meet and greet will be held at 2:00 pm using the same Zoom meeting link.

Zoom meeting: https://zoom.us/j/93250239686?pwd=cktScGpwYWhTMGVqNTdwNmdWSWEwQT09

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