BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Camille Laurent-Gengoux (Université de Lorraine\, IECL) DTSTART:20240403T113000Z DTEND:20240403T123000Z DTSTAMP:20260415T041612Z UID:PHK-cohomology-seminar/107 DESCRIPTION:Title: The neighborhood of a leaf of a singular foliation\nb y Camille Laurent-Gengoux (Université de Lorraine\, IECL) as part of Prag ue-Hradec Kralove seminar Cohomology in algebra\, geometry\, physics and s tatistics\n\n\nAbstract\nNear a leaf\, regular foliations are classified b y their monodromies. What about the singular leaves of singular foliations ? The first point is that for a singular leaf\, there is a transverse sing ular foliation\, which is constant all along the leaf. In a previous work\ , Leonid Ryvkin and I have proven that for simply connected singular leave s with a certain type of transverse singular foliations\, there is only on e possiblity: the direct product. Here\, we present a complete classificat ion at the formal level\, which is composed of two parts: a sort of monodr omy and a finite dimensional principal bundle. We use a presentation where Yang-Mills bundles (as introduced by Kotov and Strobl) play a central rol e. Joint work with Simon Raphael Fischer (Taipei).\n LOCATION:https://researchseminars.org/talk/PHK-cohomology-seminar/107/ END:VEVENT END:VCALENDAR