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<title>Cohomology in algebra, geometry, physics and statistics</title>
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Wednesday, 20 November 2024 - 13:30 to 14:30 <br />
Place: ZOOM meeting
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Speaker: Anton Galaev, University of Hradec Kralove<br />
Title: Conformally homogeneous Lorentzian spaces
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Abstract <br />
<p><span style="background-color: rgb(255, 255, 255); color: rgb(0, 0, 0);" class="ql-font-monospace">This is a joint work with Dmitri Alekseevsky. We prove that if a simply connected non-conformally flat conformal Lorentzian manifold (M,c) admits an essential transitive group of conformal transformations, then there exists a metric g∈c such that (M,g) is a complete homogeneous plane wave. We also prove that the group of conformal transformations of a non-conformally flat simply connected homogeneous plane wave (M,g) consists of homotheties, hence it is a 1-dimensional extension of the group of isometries.</span></p><p><br></p><p><span style="background-color: rgb(255, 255, 255); color: rgb(0, 0, 0);" class="ql-font-monospace">--------------------------------------------------------------</span></p><p><span style="background-color: rgb(246, 246, 246); color: rgb(0, 0, 255);">We shall open the ZOOM at 13.15 for coffee and close the room at 15:00</span></p><p><br></p><p><span style="color: rgb(0, 0, 255); background-color: rgb(246, 246, 246);">Join Zoom Meeting</span></p><p><br></p><p><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><br></p><p><span style="color: rgb(0, 0, 255); background-color: rgb(246, 246, 246);">MeetingID:99598413922</span></p><p><br></p><p><span style="color: rgb(0, 0, 255); background-color: rgb(246, 246, 246);">Passcode:Galois</span></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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