Cohomology in algebra, geometry, physics and statistics

usually takes place every Wednesday Institute of Mathematics of ASCR, Žitná 25, Praha 1
Chair: Anton Galaev, Roman Golovko, Igor Khavkine, Alexei Kotov, Hong Van Le and Petr Somberg

In this seminar we shall discuss topics concerning constructions and applications of cohomology theory in algebra, geometry, physics and statistics. In particular we shall discuss in first four seminars the relations between vertex algebras and foliations on manifolds, Gelfand-Fuks cohomology on singular spaces, cohomology of homotopy Lie algebras. The expositions should be accessible for all participants.

Generalized Prequantum Bundle in Diffeology

Patrick Iglesias-Zemmour

The Hebrew University of Jerusalem

Wednesday, 31. May 2023 - 13:30 to 14:30

ZOOM meeting

I will show how we can extend the classical circle-prequantum bundle in the case of integral symplectic manifold to any closed 2-form on any diffeological space and for any group of periods even when the torus of period is not a circle but an irrational torus. I will discuss the definition of the periods of the 2-form and the construction of the generalized prequantum bundle as a quotient of the space of paths only, without the help of an extra structure. I may give on or two singular examples.
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We shall open the ZOOM meeting at 13.00 for virtual coffee
Join Zoom Meeting
https://cesnet.zoom.us/j/99598413922?pwd=YXNFbk50aVhleXhWSGtISFViLytRUT09
MeetingID:99598413922
Passcode:Galois

TBA

Fedor Part

Institute of Mathematics, Czech Academy of Sciences

Wednesday, 4. October 2023 - 13:30 to 14:30

in IM building, ground floor +ZOOM meeting

TBA

Selman Akbulut

Gokova Geometry and Topology Institute

Wednesday, 11. October 2023 - 13:30 to 14:30