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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.


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


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

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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From the real cobordism theory to the Kervaire invariant one problem

Guchuan Li
Michigan University
Wednesday, 24. May 2023 - 13:30 to 14:30
ZOOM meeting
I will review how the real cobordism theory plays an important
role in Hill—Hopkins—Ravenel’s solution to the  Kervaire invariant one
problem and leads to new computations in chromatic homotopy theory at the
prime 2. Then I will report about my joint work with Po Hu, Igor Kriz, Petr
Somberg, and Foling Zou on the construction of odd prime analogues of real
cobordism theory.
We shall open the seminar room+ZOOM meeting at 13.15 for virtual coffee
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