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Wednesday, 13 November 2024 - 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: Yaroslav Bazaikin, Jan Evangelista Purkyně University in Ústí nad Labem<br />
Title: On Chern-Losik class for codimension two foliations
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Abstract <br />
<p><span style="background-color: rgb(255, 255, 255); color: rgb(0, 0, 0);" class="ql-font-monospace">Losik classes generalize characteristic classes of foliations using Gelfand-Fuchs cohomology approach. The Chern-Losik class for foliations of codimension one was constructed by Losik, and he also showed the non-triviality of this class for a foliation with two leaves with a hyperbolic holonomy group. In the talk the construction of the Chern-Losik class to foliations of arbitrary codimension is done. The non-triviality of the Chern-Losik class of codimension two foliations is investigated. Examples of codimension two foliations with nontrivial Chern-Losik class are constructed.</span></p><p><br></p><p><span style="background-color: rgb(255, 255, 255); color: rgb(0, 0, 0);" class="ql-font-monospace">The results were obtained jointly with Anton Galaev and Yuri Efremenko.</span></p><p><span style="background-color: rgb(255, 255, 255); color: rgb(0, 0, 0);" class="ql-font-monospace">------------------------------------------------------------------------</span></p><p class="ql-align-justify"><span style="color: rgb(0, 0, 255); background-color: rgb(246, 246, 246);">We shall open the seminar room + ZOOM at 13.15 for virtual coffee and close the room at 15:00</span></p><p class="ql-align-justify"><br></p><p class="ql-align-justify"><span style="background-color: rgb(246, 246, 246); color: rgb(0, 0, 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(0, 0, 204);">https://cesnet.zoom.us/j/99598413922?pwd=YXNFbk50aVhleXhWSGtISFViLytRU</a>9</p><p class="ql-align-justify"><br></p><p class="ql-align-justify"><span style="background-color: rgb(246, 246, 246); color: rgb(0, 0, 255);">MeetingID:99598413922</span></p><p class="ql-align-justify"><br></p><p class="ql-align-justify"><span style="background-color: rgb(246, 246, 246); color: rgb(0, 0, 255);">Passcode:Galois</span></p><p><br></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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