Title	Additive Power Operations in Equivariant Cohomology
Creator	Guillou, Bert
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2020-03-02T10:32
Description	An $H_{\infty}$ ring spectrum comes with an $m$th power operation for any positive integer $m$, and this becomes additive only after collapsing a certain transfer ideal. I will discuss the analogous situation equivariantly, both in the case of $G$-spectra and in the global setting. In each case, I will identity precisely the minimal ideal that must be collapsed in order to make the $m$th power operation a map of Mackey functors. I will provide examples, such as the sphere spectrum and complex $K$-theory. This is joint work with Peter Bonventre and Nat Stapleton.
Extent	52.0 minutes
Subject	Mathematics; Category theory; homological algebra; K-theory; Algebraic topology
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of Kentucky
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2020-09-20
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0394447
URI	http://hdl.handle.net/2429/76105
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Researcher
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

Open Collections

BIRS Workshop Lecture Videos