[Binghamton Geometry Topology Seminar] Geometry and Topology seminar: David Mehrle

[Cary Malkiewich]

I'm going to be taking the speaker to lunch after he arrives, most likely
about 12:20 or so. If you're interested in coming shoot me an email and
I'll let you know when we're ready to go!

Cary

On Thu, Mar 24, 2022 at 8:02 AM Matthew R Haulmark <haulmark at binghamton.edu>
wrote:

> Hi everyone,
>
> Today David Mehrle (Cornell)will be speaking about equivariant Hochschild
> homology, title and abstract below. This will be an *in person* talk, at
> 2:50pm in WH 100E.
>
> Best,
> Matt
>
> =========================================
> Title: Towards an equivariant Hochschild—Kostant—Rosenberg Theorem
> Abstract: The Hochschild—Kostant—Rosenberg (HKR) theorem is a bridge
> between algebra and geometry with applications in algebraic K-theory, Lie
> theory, deformation theory, and other fields. For a smooth $k$-algebra $A$,
> the HKR theorem gives an isomorphism between the Kähler differentials of
> $A$ (a geometric object) and the Hochschild homology of $A$ (an algebraic
> gadget). We conjecture that, when a finite group $G$ acts on $A$ by ring
> homomorphisms, the HKR theorem becomes a $G$-equivariant isomorphism. In
> this talk, I will share some progress towards proving this conjecture, and
> discuss some of the obstacles that remain. This is joint work-in-progress
> with J.D. Quigley and Michael Stahlhauer.
> _______________________________________________
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> topsem mailing list:
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> _______________________________________________
> Seminar web page:
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> topsem mailing list:
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