BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Andrey Krutov (Charles University) DTSTART:20260304T123000Z DTEND:20260304T133000Z DTSTAMP:20260415T060710Z UID:PHK-cohomology-seminar/149 DESCRIPTION:Title: Non-integrable distributions with simple infinite-dimensi onal Lie superalgebra of symmetries\nby Andrey Krutov (Charles Univers ity) as part of Prague-Hradec Kralove seminar Cohomology in algebra\, geom etry\, physics and statistics\n\nLecture held in the blue lecture room +ZO OM meeting.\n\nAbstract\nThe only simple infinite-dimensional Lie algebras preserving a non-integrable distribution are the algebras of contact vect or fields in odd dimensions. We formulate analogs of the above statement a nd prove them for (super)varieties over algebraically closed fields of any characteristic $p\\geq0$.\n\nOver fields $\\mathbb{K}$ of characteristic $p>0$\, we classify the Weisfeiler gradings (briefly: W-gradings)\, those corresponding to a maximal subalgebra of finite codimension\, of the known simple vectorial Lie (super)algebras with unconstrained shearing vector o f heights of the indeterminates\, distinguish W-gradings of (super)algebra s preserving non-integrable distributions.\n\nJoin work with D. Leites and I. Shchepochkina (arXiv:2309.16370)\n LOCATION:https://researchseminars.org/talk/PHK-cohomology-seminar/149/ END:VEVENT END:VCALENDAR