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

[Matthew R Haulmark]

 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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