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Cohomology in algebra, geometry, physics and statistics

usually takes place every Wednesday at 11:30 AM Institute of Mathematics of ASCR, Žitná 25, Praha 1, konírna
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.

KP integrability of triple Hodge integrals

Alexander Alexandrov
Center for Geometry and Physics, IBS Pohang, South Korea
Wednesday, 2. December 2020 - 11:30 to 12:30
ZOOM meeting
In my talk I will describe a relation between the Givental group of rank one and Heisenberg-Virasoro symmetry group of the KP integrable hierarchy. In particular I will show that only a two-parameter family of the Givental operators can be identified with elements of the Heisenberg-Virasoro symmetry group. This family describes triple Hodge integrals satisfying the Calabi-Yau condition. Using identification of the elements of two groups it is possible to prove that the generating function of triple Hodge integrals satisfying the Calabi-Yau condition and its $\Theta$-version are tau-functions of the KP hierarchy. This generalizes the result of Kazarian on KP integrability in case of linear Hodge integrals. I will also describe the relation of this family of tau-functions with the generalized Kontsevich matrix model. My talk is based on two papers, arXiv:2009.01615 and arXiv:2009... more

TBA

Mahir Can
Tulane University
Wednesday, 9. December 2020 - 11:45 to 12:45
ZOOM meeting
TBA

TBA

Pavel Hajek
University Hamburg
Wednesday, 16. December 2020 - 11:30 to 12:30
in IM building, ground floor
TBA

TBA

Alfonso Tortorella
KU Leuven
Wednesday, 6. January 2021 - 11:30 to 12:30
ZOOM
TBA

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