[PHK_seminar] [Cohomology]Wednesday 29 Oct, Anton Galaev

[Igor Khavkine]

Dear All,

The video recording of the talk by Anton Galaev from this week is now 
available on YouTube at

   https://youtu.be/sm3L32JogvI

The slides are available from

   https://users.math.cas.cz/~hvle/PHK/Galaev_HolonomyKcontact2025.pdf

Both links have also been recorded at the ResearchSeminars announcement

   https://researchseminars.org/talk/PHK-cohomology-seminar/139/

Best,

Igor

On 10/27/25 1:00 PM, sender of seminar announcement via phk_seminar wrote:
> Wednesday, 29 October 2025 - 13:30 to 14:30
> Place: Institute of Mathematics of ASCR, Žitná 25, Praha 1, ZOOM meeting
> 
> Speaker: Anton Galaev, Hradec-Kralove University
> Title: Holonomy of K-contact sub-Riemannian manifolds
> 
> Abstract
> 
> Given a contact sub-Riemannian manifold (M, θ, g), where θ is a contact 
> form on M, and g is a metric on the contact distribution
> 
> D = ker θ, there is the Schouten connection, which defines parallel 
> transport of vectors tangent to D along curves tangent to D.
> 
> The holonomy group of this connection is called the horizontal holonomy 
> group. The adapted connection is an extension of the
> 
> horizontal connection to a connection on the vector bundle D over M. I 
> will show that in the K-contact case (which means that the
> 
> Reeb vector field is a Killing one), the holonomy of the adapted 
> connection is the holonomy of some Riemannian manifold, and the
> 
> horizontal holonomy either coincides with the holonomy of the adapted 
> connection, or it is a codimension-one normal subgroup of
> 
> the later group. I will discuss the question of existence of parallel 
> horizontal spinors, examples, and consequences.
> 
> ----------------------------------------------------------
> 
> 
> We shall open ZOOM meeting at 13.15 for virtual coffee and close ZOOM at 
> 15.00
> 
> 
> 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 November 5 our seminar shall start at 4 PM. Professor Ida 
> Zadeh shall give a lecture
> 
> ``Tracking the symmetries of Z3-orbifold K3s within the Mathieu groups".
> 
> 
> 
>   For more information, see the seminar web page at
> 
> https://www.math.cas.cz/index.php/events/seminar/16
> 
> 
> 
> 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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