<div dir="ltr"><div dir="ltr"><div dir="ltr"><div dir="ltr"><div>Dear all,</div><div><br></div><div>This is a slightly unusual seminar announcement.</div><div>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).</div><div>Please note that this is going to be <b>1.5h long, and it starts at 17.00 sharp</b>.</div><div><br></div><div>You can attend in person if you are in Pavia, or join the Seminar's zoom platform, as specified below.</div><div><br></div><div>Best</div><div>Michele<br></div><div><br></div><div>North Atlantic Noncommutative Geometry Seminar</div><div>(<a href="https://www.mimuw.edu.pl/en/seminars/north-atlantic-noncommutative-geometry-seminar/" target="_blank">https://www.mimuw.edu.pl/en/seminars/north-atlantic-noncommutative-geometry-seminar/</a>)<br></div><div><br></div><div>youtube: <a href="https://www.youtube.com/channel/UCnHfrrAKk9Jaaw8oC2s_dSQ" target="_blank">https://www.youtube.com/channel/UCnHfrrAKk9Jaaw8oC2s_dSQ</a></div><div>
<p>Zoom platform link: <a href="https://uw-edu-pl.zoom.us/j/95105055663?pwd=TTIvVkxmMndhaHpqMFUrdm8xbzlHdz09" target="_blank">https://uw-edu-pl.zoom.us/j/95105055663?pwd=TTIvVkxmMndhaHpqMFUrdm8xbzlHdz09</a></p>
<p>Meeting ID: 951 0505 5663 Passcode: 924338</p><p>Time: 17.00 (sharp!)</p><p>Place: Sala Riunioni Piano C (and all of the above)<br></p><p>Speaker: Jonas Schnitzer (University of Pavia)<br></p><p>Title: <b style="background-color:transparent"><span style="background-color:transparent">THE QUANTIZATION OF MOMENTUM MAPS AND ADAPTED FORMALITY MORPHISMS</span></b></p><p><b style="background-color:transparent"><span style="background-color:transparent">Abstract: </span></b><br></p><div style="text-align:justify"><span style="text-align:start;background-color:transparent">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.</span><span style="background-color:transparent"> </span><span style="background-color:transparent">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.</span></div></div></div></div></div></div>