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

[Petr Somberg]

 This is a gentle remainder of our seminar starting soon!

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     Cohomology in algebra, geometry, physics and statistics




         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.
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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


Meeting ID:99598413922
Passcode:Galois


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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




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