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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.

Cyclic homology for bornological coarse spaces

Luigi Caputi
Institute of Informatics of the Czech Academy of Sciences, Praha.
Wednesday, 10. June 2020 - 11:30 to 12:30
ZOOM meeting + blue lecture room on the ground floor of the rear building Zitna 25
Bornological coarse spaces are "large scale" generalizations of metric spaces (up to quasi-isometry). Homological invariants of such spaces are given by coarse homology theories, which are functors from the category of bornological coarse spaces to a stable cocomplete ∞-category, satisfying additional axioms. Among the main examples of coarse homology theories, there are coarse versions of ordinary homology, of topological
and algebraic K-theory. In the talk we define G-equivariant coarse versions of the classical Hochschild and cyclic homologies (of algebras). If k is a field, the evaluation at the one point space induces equivalences with the classical Hochschild and cyclic homology of k. In the equivariant setting, the G-equivariant coarse Hochschild (cyclic) homology of the discrete group G agrees with the classical Hochschild (cyclic) homology of the associated group algebra k[G].
... more

An approach to the representation theory of symmetric groups

Petr Somberg
Charles University Prague
Wednesday, 3. June 2020 - 11:30 to 12:30
ZOOM meeting
We give an expository account of Vershik-Okounkov
           approach to the representation theory of symmetric
           groups (based on the Gelfand-Tsetlin basis and the
           Young-Jucys-Murphy elements.) If time permits, we
... more

Universal, almost universal and related spacetimes

Vojtech Pravda
IM Czech Academy of Sciences
Wednesday, 27. May 2020 - 11:30 to 12:30
ZOOM metting
For universal spacetimes, all rank-2 tensors constructed from the metric,
Riemann tensors, and its covariant derivatives of arbitrary order are
proportional to the metric. Consequently, all vacuum field equations of
generalized theories of gravity following from Lagrangian constructed from
the Riemann tensors and its covariant derivatives of arbitrary order are... more

Geometry of gauge PDEs II

Alexei Kotov
University Hradec Kralove
Wednesday, 20. May 2020 - 11:30 to 12:30
ZOOM Meeting
This is a  continuation of  Alexei Kotov's  last week seminar

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The online room    on ZOOM is open  at 11 AM for   a  virtual coffee.

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