## UBC Mathematics Colloquium: Federico Scavia

- Date: 03/22/2019
- Time: 15:00

University of British Columbia

Graduate Research Award: Essential dimension of representations of algebras

Let A be a finite-dimensional algebra. A fundamental theorem of Drozd shows that the complexity of the representation theory of A belongs to exactly one of three rather distinct classes, called finite, tame or wild representation type. I will explain how the notion of essential dimension determines the representation type of A. I will go further and define new numerical invariants of A that refine the representation type of A. I will then determine these invariants explicitly in the special case of quiver algebras.

Location: ESB 2012

Pre-colloquium refreshments will be served at 2:30 p.m. in ESB 4133 lounge.