Cohomology in algebra, geometry, physicsand statistics

Steenrod Algebra and Equivariant Algebraic Topology

Speaker’s name:

Foling Zou

Speaker’s affiliation:

University of Michigan

Place:

ZOOM meeting

Date:

Wednesday, 2. November 2022 - 13:30 to 14:30

Abstract:

Steenrod algebra give stable cohomology operations.

Non-equivariantly, the dual Steenrod algebra spectrum is a wedge of

suspensions of HZ/p. It is explicitly computed and fundamental in a lot of

computations in algebraic topology. Consider the equivariant

Eilenberg–Maclane spectra H = HZ/p for the cyclic group of order p. I will

talk about the computation of the dual Steenrod algebra of H. It turns out

that when p is odd, H ∧ H is a wedge of suspensions of H and another

spectrum, which we call HM. This is joint work with Po Hu, Igor Kriz, and

Petr Somberg

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We shall open the seminar room+ZOOM meeting at 13.15 for coffee

Join Zoom Meeting

https://cesnet.zoom.us/j/99598413922?pwd=YXNFbk50aVhleXhWSGtISFViLytRUT09

MeetingID:99598413922

Passcode:Galois

Non-equivariantly, the dual Steenrod algebra spectrum is a wedge of

suspensions of HZ/p. It is explicitly computed and fundamental in a lot of

computations in algebraic topology. Consider the equivariant

Eilenberg–Maclane spectra H = HZ/p for the cyclic group of order p. I will

talk about the computation of the dual Steenrod algebra of H. It turns out

that when p is odd, H ∧ H is a wedge of suspensions of H and another

spectrum, which we call HM. This is joint work with Po Hu, Igor Kriz, and

Petr Somberg

------------------------------------------------------------------------------------------------

We shall open the seminar room+ZOOM meeting at 13.15 for coffee

Join Zoom Meeting

https://cesnet.zoom.us/j/99598413922?pwd=YXNFbk50aVhleXhWSGtISFViLytRUT09

MeetingID:99598413922

Passcode:Galois