Noncommutative Geometry Seminar
Date: June 24, 2020
Time: 1:00PM - 2:00PM
Location: Zoom 942810031
Speaker: Carla Farsi, University of Colorado - Boulder
Title: Proper Lie Groupoids and their structures
Abstract: I will talk about two projects in their final phase of completion. (Joint with Scull and Watts) After defining the orbit category for transitive proper Lie groupoids and equivariant CW-complexes, we define equivariant Bredon homology and cohomology theories for actions of transitive proper Lie groupoids by using similarities with the compact group action case. Our work can be seen as basic evidence for Morita equivalence invariance of general Bredon theories. (Joint with Seaton) After defining groupoid Euler characteristics for cocompact proper Lie groupoids we prove that they can be realized as the usual Euler characteristic of groupoid inertias spaces. We prove that these Euler Characteristics are Morita invariant and extend those defined for orbifolds and G-spaces where G is a compact Lie group.
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