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.

TBA-cancelled

Yaroslav Bazaikin

University Hradec Kralove and University Novisibirsk

Wednesday, 3. March 2021 - 11:30 to 12:30

ZOOM meeting

TBA

Diffeological statistical models and diffeological Hausdorff measures

Hong Van Le

Institute of Mathematics of the Czech Academy of Sciences

Wednesday, 10. March 2021 - 11:30 to 12:30

ZOOM meeting

In my talk I shall first explain the concept of diffeological spaces introduced by Souriau. Then I shall explain how to use this concept to endow natural smooth structures on subsets of probability measures on an arbitrary measurable space. I shall discuss the concept of the diffeological Fisher metric and the resulting notion of the diffeological Hausdorff measure that are categorically natural, and meaningful for statistical estimations used in statistical physics and data analysis.
My talk is based on my paper https://doi.org/10.3390/math8020167 and my joint paper with Alexei Tuzhilin https://arxiv.org/abs/2011.13418
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TBA

Jan Gregorovic

University Hradec Kralove

Wednesday, 17. March 2021 - 11:30 to 12:30

in IM building, ground floor

TBA

Alexander Zuevsky

Institute of Mathematics, Czech Academy of Sciences

Wednesday, 24. March 2021 - 11:30 to 12:30