[Dottorcomp] Geometry & Topology seminars at Unimib [TIME CHANGE]

[Andrea Galasso]

Dear all,
The time of the seminar scheduled for tomorrow 03/05 has been changed. The
new time will be 9.15 am.

*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, 9.15 am (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 Szeg\H{o} kernel
expansion. We then review some classical and recent developments for
Toeplitz operators and their functional calculus. Finally, we study the
spectral operator $\chi_k(T_P)$ constructed by the functional calculus of
the first-order Toeplitz operator, which considers a set of eigenvalues in
$k\supp\chi$ and weights them according to the values of a good cutoff
function $\chi_k$ at each  eigenvalue in the set. We will show that the
kernel of the spectral operator $\chi_k(T_P)$ 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
-------------- parte successiva --------------
Un allegato HTML è stato rimosso...
URL: http://ipv01.unipv.it/pipermail/dottorcomp/attachments/20230502/91f9530e/attachment.htm