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<title>Cohomology in algebra, geometry, physics and statistics</title>
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Wednesday, 3 December 2025 - 13:30 to 14:30 <br />
Place: Institute of Mathematics of ASCR, Žitná 25, Praha 1, ZOOM meeting
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Speaker: Yukihiro Okamoto, Tokyo Metropolitan University<br />
Title: Legendrian non-isotopic unit conormal bundles in high dimensions
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Abstract <br />
<p>For any compact submanifold of R^n, its unit conormal bundle is a compact Legendrian submanifold of the unit cotangent bundle of R^n. </p><p>In this talk, I will give examples of pairs of compact connected submanifolds of R^n of codimension greater than 3 such that their unit conormal </p><p>bundles are not Legendrian isotopic, although these two Legendrian submanifolds cannot be distinguished by classical invariants. </p><p>The main tools to distinguish them are the strip Legendrian contact homology and a coproduct on it. I will explain that, in a special case</p><p> including the main examples, the coproduct can be computed by using the idea of string topology.</p><p><br></p><p class="ql-align-justify"><span style="background-color: rgb(255, 255, 255); color: rgb(34, 34, 34);">----------------------------------------------------------</span></p><p class="ql-align-justify"><br></p><p class="ql-align-justify"><span style="background-color: rgb(255, 255, 255); color: rgb(34, 34, 34);">We shall open ZOOM meeting at 13.15 for virtual coffee and close ZOOM at 15.00</span></p><p class="ql-align-justify"><span style="background-color: rgb(255, 255, 255); color: rgb(34, 34, 34);">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="background-color: rgb(255, 255, 255); color: rgb(34, 34, 34);">Meeting ID:99598413922</span></p><p class="ql-align-justify"><span style="background-color: rgb(255, 255, 255); color: rgb(34, 34, 34);">Passcode:Galois</span></p><p class="ql-align-justify"><br></p><p><span style="background-color: rgb(255, 255, 255); color: rgb(34, 34, 34);"> -------------------------</span></p><p><span style="background-color: rgb(255, 255, 255); color: rgb(34, 34, 34);">On Wednesday December 10, Professor </span>Teimuraz Pirashvili shall give a talk ``The category of finite sets and cohomology theories of commutative</p><p> algebras".</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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