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<title>Cohomology in algebra, geometry, physics and statistics</title>
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Wednesday, 3 April 2024 - 13:30 to 14:30 <br />
Place: Institute of Mathematics of ASCR, Žitná 25, Praha 1, ZOOM meeting
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Speaker: Camille Laurent-Gengoux, Université de Lorraine, IECL<br />
Title: The neighborhood of a leaf of a singular foliation
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Abstract <br />
<p><span style="background-color: rgb(255, 255, 255); color: rgb(0, 0, 0);">Near a leaf, regular foliations are classified by their monodromies. What about the singular leaves of singular foliations ? The first point is that for a singular leaf, there is a transverse singular foliation, which is constant all along the leaf. In a previous work, Leonid Ryvkin and I have proven that for simply connected singular leaves with a certain type of transverse singular foliations, there is only one possiblity: the direct product. Here, we present a complete classification at the formal level, which is composed of two parts: a sort of monodromy and a finite dimensional principal bundle. We use a presentation where Yang-Mills bundles (as introduced by Kotov and Strobl) play a central role. Joint work with Simon Raphael Fischer (Taipei).</span></p><p><br></p><p class="ql-align-justify"><span style="background-color: rgb(255, 255, 255); color: rgb(0, 0, 0);">-----------------------------------------------------------------------------------------------------------------------</span></p><p class="ql-align-justify"><span style="background-color: rgb(255, 255, 255); color: rgb(0, 0, 0);" class="ql-font-monospace">We shall open ZOOM at 13.15 for virtual coffee</span></p><p class="ql-align-justify"><span style="background-color: rgb(255, 255, 255); color: rgb(0, 0, 0);" class="ql-font-monospace">Join Zoom Meeting</span></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);" class="ql-font-monospace">https://cesnet.zoom.us/j/99598413922?pwd=YXNFbk50aVhleXhWSGtISFViLytRUT09</a></p><p class="ql-align-justify"><span style="background-color: rgb(255, 255, 255); color: rgb(0, 0, 0);" class="ql-font-monospace">MeetingID:99598413922</span></p><p class="ql-align-justify"><span style="background-color: rgb(255, 255, 255); color: rgb(0, 0, 0);" class="ql-font-monospace">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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