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.

Rigidity of Lagrangian intersection in conformal symplectic geometry.

Baptiste Chantraine

Université de Nantes

Tuesday, 29. October 2019 - 11:15 to 12:15

Konirna seminar room, front IM building, ground floor

In this talk I will review some of basic notion about conformal symplectic geometry and highlight similarities and differences with symplectic geometry. I will then explain how we can prove that in a conformal symplectic cotangent bundle lagrangian intersection of the 0-section with Hamiltonian deformations of itself are bounded bellow by the Novikov Betti numbers of the Lee form. This is joint work with Emmy Murphy.

G-structures on NQ-manifolds and gauge theory: Cancelled!

Alexei Kotov

Univ. Hradec Kralove

Wednesday, 23. October 2019 - 11:30 to 12:30

Seminar room Konirna, in front IM building, ground floor

An NQ-manifold is a non-negatively graded super manifold together with
a homological super vector field of degree 1. This talk will be about
compatibility of certain G-structures on such a manifold with the
corresponding Q-field and applications of this formalism to constructing
of gauge sigma-models.

The talk is cancelled because of the health condition of the speaker.... more

On Legendrian products and twist spuns

Roman Golovko

Charles University

Wednesday, 26. June 2019 - 11:30 to 12:30

in IM building, ground floor

The Legendrian product of two Legendrian knots, as defined by Lambert-Cole,
is a Legendrian torus. We show that this Legendrian torus is a twist spun whenever one of
the Legendrian knot components is sufficiently large. We then study examples of Legendrian
products which are not Legendrian isotopic to twist spuns. In order to do this, we prove a
... more

Hecke algebras

Petr Somberg

MU UK

Wednesday, 19. June 2019 - 11:30 to 12:30