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<title>Cohomology in algebra, geometry, physics and statistics</title>
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Wednesday, 27 November 2024 - 13:30 to 14:30 <br />
Place: Institute of Mathematics of ASCR, Žitná 25, Praha 1, the seminar room Konirka in the front building + ZOOM meeting
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Speaker: Pedro H. Carvalho, University of Hradec Kralove<br />
Title: Homological reduction of Poisson structures
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Abstract <br />
<p><span style="background-color: rgb(255, 255, 255); color: rgb(0, 0, 0);">From Roytenberg-Ševera, we know that Poisson manifolds are in one-to-one correspondence with symplectic NQ-manifolds of degree one. Cattaneo-Zambon further extended this relation to the level of reduction with their graded geometric approach to Poisson reduction. Based on these ideas, we explain how homotopy Poisson structures may arise as homological models for Poisson reduced spaces obtained from more general reduction setups. Our results extend the classical homological formulation of hamiltonian reduction of symplectic and Poisson manifolds due to Kostant-Sternberg and Stasheff. </span></p><p class="ql-align-justify"><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(0, 0, 255); background-color: rgb(246, 246, 246);">We shall open the seminar room+ ZOOM at 13.15 for 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><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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