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<title>Cohomology in algebra, geometry, physics and statistics</title>
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Wednesday, 4 March 2026 - 13:30 to 14:30 <br />
Place: Institute of Mathematics of ASCR, Žitná 25, Praha 1, the blue lecture room +ZOOM meeting
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Speaker: Andrey Krutov, Mathematical Institute, Charles University<br />
Title: Non-integrable distributions with simple infinite-dimensional Lie superalgebra of symmetries
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Abstract <br />
<p><span style="background-color: rgb(255, 255, 255); color: rgb(0, 0, 0);" class="ql-font-monospace">The only simple infinite-dimensional Lie algebras preserving a non-integrable distribution are the algebras of contact vector fields in odd dimensions. We formulate analogs of the above statement and prove them for (super)varieties over algebraically closed fields of any characteristic $p\geq0$.</span></p><p><br></p><p><span style="background-color: rgb(255, 255, 255); color: rgb(0, 0, 0);" class="ql-font-monospace">Over 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 of heights of the indeterminates, distinguish W-gradings of (super)algebras preserving non-integrable distributions.</span></p><p><br></p><p><span style="background-color: rgb(255, 255, 255); color: rgb(0, 0, 0);" class="ql-font-monospace">Join work with D. Leites and I. Shchepochkina (arXiv:2309.16370)</span></p><p><span style="color: rgb(0, 0, 0); background-color: rgb(255, 255, 255);" class="ql-font-monospace">----------------------------------------------------</span></p><p class="ql-align-justify"><span style="color: rgb(34, 34, 34); background-color: rgb(255, 255, 255);">We shall open the seminar room and ZOOM meeting at 13.15 for (virtual) coffee and close ZOOM at 15.00</span></p><p class="ql-align-justify"><br></p><p class="ql-align-justify"><span style="color: rgb(34, 34, 34); background-color: rgb(255, 255, 255);">Join Zoom Meeting</span></p><p class="ql-align-justify"><br></p><p class="ql-align-justify"><a href="https://cesnet.zoom.us/j/99598413922?pwd=YXNFbk50aVhleXhWSGtISFViLytRUT09" rel="noopener noreferrer" target="_blank" style="background-color: rgb(255, 255, 255); color: rgb(17, 85, 204);">https://cesnet.zoom.us/j/99598413922?pwd=YXNFbk50aVhleXhWSGtISFViLytRUT09</a></p><p class="ql-align-justify"><br></p><p class="ql-align-justify"><span style="color: rgb(34, 34, 34); background-color: rgb(255, 255, 255);">Meeting ID:99598413922</span></p><p class="ql-align-justify"><span style="color: rgb(34, 34, 34); background-color: rgb(255, 255, 255);">Passcode:Galois</span></p><p>--------------------------------------------------------------------</p><p><br></p><p>On Wednesday March 11 Russell Avdek shall give a lecture on <a href="https://www.math.cas.cz/index.php/events/event/4130" rel="noopener noreferrer" target="_blank">Numerical invariants of contact manifolds and their divisors </a></p>
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For more information see the seminar web page at <br />
https://www.math.cas.cz/index.php/events/seminar/16
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Cohomology in algebra, geometry, physics and statistics mailing list <br />
phk_seminar@math.cas.cz <br />
https://list.math.cas.cz/listinfo/phk_seminar@math.cas.cz
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