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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.
We shall open the ZOOM meeting at 13.00 for virtual coffee
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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


Selman Akbulut
Gokova Geometry and Topology Institute
Wednesday, 11. October 2023 - 13:30 to 14:30
ZOOM meeting