Department Colloquium

Fri., Mar. 17, 2023 3:30 p.m.

Location: Zoom

Speaker: Colin Ingalls, Carleton University

Title: Groupoids (Stacks) associated with non-commutative surfaces (93 kB)

Zoom Link: https://uregina-ca.zoom.us/j/92508741353?pwd=UzFOMjVMelVkRWhqR215cjd6dTlCQT09

Abstract:

This is joint work with Eleonore Faber, Matthew Satriano, and Shinnosuke Okawa. This will be a general audience talk. One of the main constructions of Connes' noncommutative geometry is a construction of the convolution algebra of a groupoid. It is not clear how to characterize which algebras can be obtained this way. We construct a groupoid associated to a smooth, finite over its centre, noncommutative surface which has the same category of modules. This was done locally by Reiten and Van den bergh and in dimension one by Chan and I. We hope to use this result to study Artin's conjectured classification of noncommutative surfaces by reduction to characteristic p.