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SUMMARY:Foling Zou (University of Michigan)
DTSTART:20210510T203000Z
DTEND:20210510T213000Z
DTSTAMP:20260423T004138Z
UID:MITTop/32
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MITTop/32/">
 Nonabelian Poincare duality theorem and equivariant factorization homology
  of Thom spectra</a>\nby Foling Zou (University of Michigan) as part of MI
 T topology seminar\n\n\nAbstract\nThe factorization homology are invariant
 s of n-dimensional manifolds with some fixed tangential structures that ta
 ke coefficients in suitable $\\mathbb{E}_n$-algebras. I will give a defini
 tion for the equivariant factorization homology of a framed manifold for a
  finite group G via a monadic bar construction following Miller-Kupers. I 
 will also talk about the unital variant of symmetric sequences that is und
 erneath this construction. Then I will talk about the equivariant nonabeli
 an Poincare duality theorem in this case and the equivariant factorization
  homology on equivariant spheres for certain Thom spectra. This is joint w
 ith Asaf Horev\, Inbar Klang\, Peter May and Ruoqi Zhang.\n
LOCATION:https://researchseminars.org/talk/MITTop/32/
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