[dottormate] "Unusual" seminar announcement - Jonas Schnitzer

[MICHELE SCHIAVINA]

Dear all,

This is a slightly unusual seminar announcement.
Our own Jonas Schnitzer is giving a talk for the North Atlantic NC Geometry
Seminar series, which will be streamed from here (aula riunioni Piano C).
Please note that this is going to be *1.5h long, and it starts at 17.00
sharp*.

You can attend in person if you are in Pavia, or join the Seminar's zoom
platform, as specified below.

Best
Michele

North Atlantic Noncommutative Geometry Seminar
(
https://www.mimuw.edu.pl/en/seminars/north-atlantic-noncommutative-geometry-seminar/
)

youtube: https://www.youtube.com/channel/UCnHfrrAKk9Jaaw8oC2s_dSQ

Zoom platform link:
https://uw-edu-pl.zoom.us/j/95105055663?pwd=TTIvVkxmMndhaHpqMFUrdm8xbzlHdz09

Meeting ID: 951 0505 5663 Passcode: 924338

Time: 17.00 (sharp!)

Place: Sala Riunioni Piano C (and all of the above)

Speaker: Jonas Schnitzer (University of Pavia)

Title: *THE QUANTIZATION OF MOMENTUM MAPS AND ADAPTED FORMALITY MORPHISMS*

*Abstract: *
If a Lie group acts on a Poisson manifold by Hamiltonian symmetries, there
is a well-understood way to get rid of unnecessary degrees of freedom and
pass to a Poisson manifold of a lower dimension. This procedure is known as
the Poisson-Hamiltonian reduction. There is a similar construction for
invariant star products admitting a quantum momentum map, which leads to a
deformation quantization of the Poisson-Hamiltonian reduction of the
classical limit. The existence of quantum momentum maps is only known in
very few cases, like linear Poisson structures and symplectic manifolds.
The aim of this talk is to fill this gap and show that there is a universal
way to find quantized momentum maps using so-called adapted formality
morphisms, which exist for good enough Lie-group actions. This is a work in
progress with Chiara Esposito, Ryszard Nest and Boris Tsygan.
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