<div dir="ltr">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!<div><br></div><div>Cary</div></div><br><div class="gmail_quote"><div dir="ltr" class="gmail_attr">On Thu, Mar 24, 2022 at 8:02 AM Matthew R Haulmark <<a href="mailto:haulmark@binghamton.edu">haulmark@binghamton.edu</a>> wrote:<br></div><blockquote class="gmail_quote" style="margin:0px 0px 0px 0.8ex;border-left:1px solid rgb(204,204,204);padding-left:1ex"><div dir="ltr">
<div dir="ltr"><div>Hi everyone,</div><div><br></div>Today David Mehrle (Cornell)will be speaking about equivariant Hochschild
homology, title and abstract below. This will be an <b>in person</b> talk, at 2:50pm in WH 100E. <br><br>Best,<br></div><div>Matt<br></div><div dir="ltr"><br>=========================================<br>Title: Towards an equivariant Hochschild—Kostant—Rosenberg Theorem<div>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.<br></div></div>
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_______________________________________________<br>
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