# Topology Seminar

Speaker:
John Pardon (Princeton Unievrsity)
Topic:
Pontryagin-Thom for orbifold bordism

Abstract:
The classical Pontryagin–Thom isomorphism equates manifold bordism groups with corresponding stable homotopy groups. This construction moreover generalizes to the equivariant context. I will discuss work which establishes a Pontryagin--Thom isomorphism for orbispaces (an orbispace is a "space" which is locally modelled on $Y/G$ for $Y$ a space and $G$ a finite group; examples of orbispaces include orbifolds and moduli spaces of pseudo-holomorphic curves). This involves defining a category of orbispectra and an involution of this category extending Spanier--Whitehead duality. Global homotopy theory also plays a key role.

Event Date:
October 1, 2020 - 2:30pm to 3:20pm
Location:
Online
Calendar Category:
Seminar
Seminar Category:
Geometry and Topology