BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Kathryn Mann (Cornell University) DTSTART:20241122T160000Z DTEND:20241122T171500Z DTSTAMP:20260423T005659Z UID:CIRGET/128 DESCRIPTION:Title: (bi)-Foliations of the plane and laminations of the circle\nby Kathry n Mann (Cornell University) as part of CRM - Séminaire du CIRGET / Géom étrie et Topologie\n\nLecture held in PK-5115.\n\nAbstract\nA "bifoliatio n" of a two-dimensional space is a way of covering it with local charts to the Euclidean plane R^2 so that overlap maps in R^2 match up the vertical and horizontal coordinate directions. Such objects arise naturally in ma ny dynamical contexts such as Anosov diffeomorphisms on surfaces\, or flow s on 3-manifolds.\nA trick due to Mather lets one compactify a bifoliated plane with a "circle at infinity" using the data of the bifoliation. In r ecent work with Barthelmé and Bonatti\, we studied the inverse question: what is the minimum amount of data from infinity that allows one to revers e this procedure and uniquely reconstruct a bifoliation of the plane? Th is talk will explain the answer! While our motivation for this question w as the problem of classifying pseudo-Anosov flows\, the problem and soluti on are entirely in the realm of low-dimensional topology.\n LOCATION:https://researchseminars.org/talk/CIRGET/128/ END:VEVENT END:VCALENDAR