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Jeremiah Heller: Power Operations and Normed Spectra (Topology seminar)

Event Type
Seminar/Symposium
Sponsor
Vesna Stojanoska
Location
Altgeld Hall 243
Date
Feb 28, 2023   11:00 am  
Speaker
Jeremiah Heller
Views
67
Originating Calendar
Topology Seminar

Power Operations and Normed Spectra

Abstract: A key feature in the theory of E_oo ring spectra in algebraic topology is that their homology and homotopy admit a theory of power operations. It is straightforward to introduce the direct analog of E_oo ring spectra in motivic homotopy theory, but the power operations arising from this structure are not as useful.   There is a subtler theory of normed motivic spectra, introduced by Bachmann-Hoyois. In recent preprints, joint with Tom Bachmann and Elden Elmanto, we develop a theory of power operations on normed algebras over the mod-2 motivic cohomology spectrum. I'll discuss this construction and some applications of the resulting theory.

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