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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.

Almost hypercomplex/quaternionic skew-Hermitian structures and their intrinsic torsion

Ioannis Chrysikos
University of Hradec Kralove
Wednesday, 23. February 2022 - 13:30 to 14:30
in IM building, ground floor, the blue lecture room + ZOOM meeting
We discuss the  differential geometry of  4n-dimensional manifolds admitting a SO*(2n)-structure, or a SO*(2n)Sp(1)-structure, where SO*(2n) denotes the quaternionic real form of SO(2n, C).  Such G-structures form the symplectic analog of the well-known hypercomplex/quaternionic Hermitian structures, and hence we cal them  hypercomplex / quaternionic skew-Hermitian structures, respectively.  We will describe the basic data encoding such geometric structures, their intrinsic torsion, related 1st-order integrability conditions and some classification examples, if time permitted.   This talk is based on  joint works with J. Gregorovič (UHK) and H. Winther (Masaryk)

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We open ZOOM   at  13.15  for virtual   coffee  and   close  at  15... more

TBA

Pasha Zusmanovich
University Ostrava
Wednesday, 2. March 2022 - 13:30 to 14:30
in IM building, ground floor +ZOOM meeting
TBA

TBA

Alexander Zuevsky
Institute of Mathematics of the Czech Academy of Sciences
Wednesday, 9. March 2022 - 13:30 to 14:30
in IM building, ground floor +ZOOM metting
TBA

TBA

Igor Khavkine
Institute of Mathematics of the Czech Academy of Sciences
Wednesday, 16. March 2022 - 13:30 to 14:30
in IM building, ground floor +ZOOM meeting
TBA

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