## Contact Info

Pure MathematicsUniversity of Waterloo

200 University Avenue West

Waterloo, Ontario, Canada

N2L 3G1

Departmental office: MC 5304

Phone: 519 888 4567 x43484

Fax: 519 725 0160

Email: puremath@uwaterloo.ca

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

University of Waterloo

200 University Avenue West

Waterloo, Ontario, Canada

N2L 3G1

Departmental office: MC 5304

Phone: 519 888 4567 x43484

Fax: 519 725 0160

Email: puremath@uwaterloo.ca

University of Waterloo

University of Waterloo

43.471468

-80.544205

200 University Avenue West

Waterloo,
ON,
Canada
N2L 3G1

The University of Waterloo acknowledges that much of our work takes place on the traditional territory of the Neutral, Anishinaabeg and Haudenosaunee peoples. Our main campus is situated on the Haldimand Tract, the land granted to the Six Nations that includes six miles on each side of the Grand River. Our active work toward reconciliation takes place across our campuses through research, learning, teaching, and community building, and is centralized within our Indigenous Initiatives Office.