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Cohomology in algebra, geometry, physics and statistics

usually takes place every Wednesday at 11 AM Institute of Mathematics of ASCR, Žitná 25, Praha 1, konírna
Chair: Anton Galaev, Roman Golovko, Alexei Kotov, Hong Van Le and Sasha Zuevsky

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.

Algebraic geometry and number theory applications of vertex operator algebras

Alexander Zuevsky
Institute of Mathematics, Czech Academy of Sciences, Praha 
Wednesday, 24. October 2018 - 11:30 to 12:15
in IM building, ground floor
We continue our series of lectures concerning vertex operator algebras and their applications in algebraic geometry and number theory. In particular, we consider a construction and properties of characters for vertex operator algebras on Riemann surfaces.

Lie-infinity structures as dg manifolds

<span style="font-family:tahoma,sans-serif; font-size:13.3333px">Alexei Kotov</span>
University of Hradec Králové
Wednesday, 24. October 2018 - 12:15 to 13:00
in IM building, ground floor
<span style="background-color:rgb(255, 255, 255); color:rgb(51, 51, 51); font-family:monospace; font-size:12px">A short intro into Lie-infinity structures via&nbsp;</span><br /> <span style="background-color:rgb(255, 255, 255); color:rgb(51, 51, 51); font-family:monospace; font-size:12px">supergeometry with examples.</span>

Applications of complexes of differential operators in gauge theories

Igor Khavkine
IM, CAS
Wednesday, 31. October 2018 - 11:30 to 12:30
in IM building, ground floor
In mathematical physics, gauge theories are variational PDEs that have gauge symmetries (symmetries locally parametrized by arbitrary functions). Generators of gauge symmetries naturally fit into certain complexes of differential operators. I will discuss the structure of these complexes and the possible roles played by their cohomology.