[Dottorcomp] Geometry & Topology seminars at Unimib

[Andrea Galasso]

Dear all,

As a part of "Geometry & Topology seminars at Unimib", it is our pleasure
to announce the speaker:
*Wei-Chuan Shen*, (University of Cologne).
The speaker will deliver the talk *online* via Webex platform and the
meeting will be *streamed also in room 3014*, at the building U5-Ratio,
Università degli Studi di Milano Bicocca.

*Date and time*: 3rd of May 2023, 14.00 pm (CET)

*Title*: Semiclassical spectral asymptotics of Toeplitz operators on CR
manifolds

*Abstract*: This talk deals with semiclassical spectral asymptotics of
Toeplitz operators on CR manifolds. First, we recall the notions of compact
strictly pseudoconvex embeddable CR manifolds and Szegő kernel expansion.
We then review some classical and recent developments for Toeplitz
operators and their functional calculus. Finally, we study the spectral
operator [image: {\displaystyle \chi }]k(TP) constructed by the functional
calculus of the first-order Toeplitz operator, which considers a set of
eigenvalues in *k* supp([image: {\displaystyle \chi }])  and weights them
according to the values of a good cutoff function [image: {\displaystyle
\chi }]k at each eigenvalue in the set. We will show that the kernel of the
spectral operator [image: {\displaystyle \chi }]k(TP) is a semi-classical
Fourier integral modulo a k-negligible smooth kernel. Time permitting, I
will give some applications of such asymptotic expansion, which provides CR
analogues (without group action assumption on our CR manifolds) of high
power line bundle results in complex geometry.

*Information to attend in room 3014*
The seminar will take place in room 3014, at the building U5-Ratio,
Università degli Studi di Milano Bicocca.

*Information to attend online*
Join from the meeting link

https://unimib.webex.com/unimib/j.php?MTID=m64c277795aaa7012a695de98e8a93036

Join by meeting number

Meeting number (access code): 2741 809 0209

Meeting password: ZVbyAKn59D3 (98292565 from phones)


Please feel free to forward this information to anyone who might be
interested.

For further information, please visit our website: Geometry at Bicocca
(google.com) <https://sites.google.com/unimib.it/geometryatbicocca>


The organizers: Gianluca Faraco, Andrea Galasso
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