Title	Odd primary analogues of Real orientations
Creator	Hahn, Jeremy
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2020-03-02T09:03
Description	Dylan Wilson has constructed a $C_p$-equivariant space, $\mathbb{CP}^{\infty}_{\mu_p}$, which generalizes the complex conjugation action on projective space. I will explain several different ways of viewing this space, as well as the associated notion of a $\mu_p$-orientation. In particular, I will discuss $\mu_p$-orientations of height $p-1$ Morava $E$-theories, as well as a $\mu_3$-orientation of tmf(2). I will describe how a single element $v_1^{mu_p}$ in the stable homotopy of $CP^{\infty}_{\mu_p}$ determines the $C_p$-action on the homotopy groups of height $p-1$ Morava $E$-theory. This is joint work with Andrew Senger and Dylan Wilson.
Extent	61.0 minutes
Subject	Mathematics; Category theory; homological algebra; K-theory; Algebraic topology
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: MIT
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	10.14288/1.0394446
URI	http://hdl.handle.net/2429/76104
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Postdoctoral
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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