Seth Wolbert

(Department of Mathematics, St. Louis University)

Representations Up To Homotopy, Weak Groupoid Actions, and VB-Groupoids

Date Friday, January 12, 2018

VB-groupoids are the natural model for vector bundles of Lie groupoids. Recently, VB-groupoids have been shown to be equivalent to representations up to homotopy, a broadening of the representation theory of Lie groupoids. After a brief review of Lie groupoids and their representation theory, I will discuss weak groupoid actions and their relationship with VB-groupoids and representations up to homotopy.