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<title>Cohomology in algebra, geometry, physics and statistics</title>
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Wednesday, 6 May 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: Svatopluk Kryls, Mathematical Institute, Charles University<br />
Title: Cohomology of symplectic spinor twisted de Rham sequence and its subcomplexes
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Abstract <br />
<p>Symplectic spinors were discovered by Segal and Shale in 1962 in the realm of quantum physics and by Weil in 1964 in the realm of analysis on p-adic groups and number theory. They were incorporated into global analysis and geometry some decades after that.</p><p> We treat a sheaf resolution of symplectic spinors and a sheaf sub-resolution induced by symplectic connections and by symplectic Ricci-type connections, respectively. The latter named connections (also called symplectic Weyl-flat and symplectic curvature reducible) were investigated in differential geometry a) as parallel notions to Weyl- and Ricci-type connections known in the Riemannian case, and also b) for the aims of geometric quantization.</p><p class="ql-align-justify"> We introduce the resolutions and induced complexes, using a modest amount of representation theory. Besides giving theorems on them, we mention their Riemannian counterparts regarding their existence.</p><p class="ql-align-justify">------------------------------------------------------------------------------------------------------------------------------------</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);">We shall open the seminar room and ZOOM at 13.15 for virtual coffee and close ZOOM at 15.30</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 class="ql-align-justify"><span style="color: rgb(34, 34, 34); background-color: rgb(255, 255, 255);">-------------------------------------------------------------------------------------------------</span></p><p>On Wednesday May 13, Malkhaz Bakuradze shall give a lecture<a href="https://www.math.cas.cz/index.php/events/event/4170" rel="noopener noreferrer" target="_blank" style="color: rgb(0, 0, 0); background-color: rgb(255, 255, 255);">, <strong> On Equivariant Bredon Cohomologies with Maskey Functor in Morava K-theory</strong></a></p><p class="ql-align-justify"><br></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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