College of Liberal Arts & Sciences

# Algebra Seminar

Speaker:

Adam Wood (St. Olaf College)

Topic:

Coverings and Voltages for Brauer Graph Algebras

**Abstract: **

A Brauer graph is a graph with a cyclic ordering of edges around each vertex and a multiplicity function defined on the vertices. Given a Brauer graph, one can associate to that Brauer graph a bound quiver algebra, called a Brauer graph algebra. We introduce Brauer graph algebras and discuss the notion of a Brauer weighting on a Brauer graph. Such a Brauer weighting gives rise to the theory of coverings of Brauer graph algebras, which we provide a survey of. We then connect these coverings to voltage graphs derived from Brauer graphs, and discuss current work in this direction.

If you need the passcode, please contact Frauke Bleher or Ryan Kinser.

Event Date:

April 12, 2021 - 3:30pm to 4:30pm

Location:

Online

Calendar Category:

Seminar

Seminar Category:

Algebra