[dottormate] Seminar Announcement - Marvin Dippel

[MICHELE SCHIAVINA]

Dear all,

I am pleased to announce the following seminar by *Marvin Dippel*
(University of Salerno)

Date: Wednesday, December 4th
Time: 14.15
Place: Aula Beltrami

Title: Global Homotopies for Differential Hochschild Cohomologies

Abstract: The classical Hochschild-Kostant-Rosenberg (HKR) Theorem in
Differential
Geometry gives a quasi-isomorphism between the differentiable Hochschild
complex of the algebra of smooth functions on a manifold and the
multivector fields on it. The HKR morphism plays an important role in
deformation theory, in particular it appears in deformation quantization
as the lowest degree of Kontsevich’s formality. Even though the HKR Theorem
has been known for a long time, available proofs are often of a local
nature and are hard to generalize to more structured situations. I will
present a novel proof for the HKR Theorem using a symbol calculus and a
van Est-double complex. This strategy will allow for an explicit global
homotopy and can easily be adapted to various situations. As examples, I
will present HKR Theorems for submanifolds and surjective submersions,
as well as equivariant versions for both Lie group and Lie algebra actions.

On zoom: Joint Seminar In Mathematical Physics
Time: Dec 4, 2024 02:00 PM Rome

Join Zoom Meeting
https://unipv-it.zoom.us/j/97576497182?pwd=PP8DUiYOkurMhhsXDM38oimsupO9ad.1

Meeting ID: 975 7649 7182
Passcode: 111317
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