[PHK_seminar] [Cohomology]Wednesday 6 May, Svatopluk Kryls

[Igor Khavkine]

Dear All,

The video recording of the talk by Svatopluk Kryls from last week is now 
available on YouTube at

   https://youtu.be/rQfmue-PEjI

The slides are available from

   https://users.math.cas.cz/~hvle/PHK/Kryslsymplecticspinor2026.pdf

Both links have also been recorded at the ResearchSeminars announcement

   https://researchseminars.org/talk/PHK-cohomology-seminar/155/

Best,

Igor


On 5/4/26 1:00 PM, sender of seminar announcement via phk_seminar wrote:
> Wednesday, 6 May 2026 - 13:30 to 14:30
> Place: Institute of Mathematics of ASCR, Žitná 25, Praha 1, the blue 
> lecture room + ZOOM meeting
> 
> Speaker: Svatopluk Kryls, Mathematical Institute, Charles University
> Title: Cohomology of symplectic spinor twisted de Rham sequence and its 
> subcomplexes
> 
> Abstract
> 
> Symplectic spinors were discovered by Segal and Shale in 1962 in the 
> realm of quantum physics and by Weil in 1964 in the realm of analysis on 
> p-adic groups and number theory. They were incorporated into global 
> analysis and geometry some decades after that.
> 
>    We treat a sheaf resolution of symplectic spinors and a sheaf sub- 
> resolution induced by symplectic connections and by symplectic Ricci- 
> type connections, respectively. The latter named connections (also 
> called symplectic Weyl-flat and symplectic curvature reducible) were 
> investigated in differential geometry a) as parallel notions to Weyl- 
> and Ricci-type connections known in the Riemannian case, and also b) for 
> the aims of geometric quantization.
> 
>    We introduce the resolutions and induced complexes, using a modest 
> amount of representation theory. Besides giving theorems on them, we 
> mention their Riemannian counterparts regarding their existence.
> 
> ------------------------------------------------------------------------------------------------------------------------------------
> 
> 
> We shall open the seminar room and ZOOM at 13.15 for virtual coffee and 
> close ZOOM at 15.30
> 
> 
> Join Zoom Meeting
> 
> 
> https://cesnet.zoom.us/j/99598413922? 
> pwd=YXNFbk50aVhleXhWSGtISFViLytRUT09 <https://cesnet.zoom.us/ 
> j/99598413922?pwd=YXNFbk50aVhleXhWSGtISFViLytRUT09>
> 
> 
> Meeting ID:99598413922
> 
> Passcode:Galois
> 
> -------------------------------------------------------------------------------------------------
> 
> On Wednesday May 13, Malkhaz Bakuradze shall give a lecture, *On 
> Equivariant Bredon Cohomologies with Maskey Functor in Morava K-theory* 
> <https://www.math.cas.cz/index.php/events/event/4170>
> 
> 
> 
> For more information see the seminar web page at
> https://www.math.cas.cz/index.php/events/seminar/16
> 
> Cohomology in algebra, geometry, physics and statistics mailing list
> phk_seminar at math.cas.cz
> https://list.math.cas.cz/listinfo/phk_seminar@math.cas.cz
> 
> 
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