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<title>Cohomology in algebra, geometry, physics and statistics</title>
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Wednesday, 12 February 2025 - 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: Alexei Kotov, University of Hradec Kralove<br />
Title: Invariants of piecewise linear curves (joint with Yaroslav Bazaikin)
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Abstract <br />
<p><span style="background-color: rgb(255, 255, 255); color: rgb(0, 0, 0);">The problem of classification of geometric objects under the action of a group or a pseudogroup of transformations has a long history and dates back to the Erlangen program of Felix Klein. We propose a "discrete" version of this theory, in which, instead of smooth structures, we consider their piecewise smooth approximations, consisting of "simple" blocks. In this talk, we will focus on the classification of the piecewise linear curves in an affine space under the action of the affine transformation group. The obtained "discrete" invariants in the limit give known differential invariants for a similar problem in a smooth case.</span></p><p class="ql-align-justify"><span style="background-color: rgb(246, 246, 246); color: rgb(0, 0, 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);" class="ql-font-monospace">We shall open the seminar room and ZOOM at 13.15 for 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(0, 0, 255); background-color: rgb(246, 246, 246);" class="ql-font-monospace">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=YXNFbk50aVhleXhWSGtISFViLytRU9" rel="noopener noreferrer" target="_blank" style="background-color: transparent; color: rgb(0, 0, 204);" class="ql-font-monospace">https://cesnet.zoom.us/j/99598413922?pwd=YXNFbk50aVhleXhWSGtISFViLytRU9</a></p><p class="ql-align-justify"><br></p><p class="ql-align-justify"><span style="color: rgb(0, 0, 255); background-color: rgb(246, 246, 246);" class="ql-font-monospace">MeetingID:99598413922</span></p><p class="ql-align-justify"><br></p><p class="ql-align-justify"><span style="color: rgb(0, 0, 255); background-color: rgb(246, 246, 246);" class="ql-font-monospace">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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