BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Agnès Gadbled (University of Paris-Saclay) DTSTART:20210825T143000Z DTEND:20210825T152000Z DTSTAMP:20260423T005736Z UID:SRSTOPO/3 DESCRIPTION:Title: Categorical action of the braid group of the cylinder\nby Agnès Gadbl ed (University of Paris-Saclay) as part of Summer Research School: Topolog ical Fukaya categories of surfaces with stops via gentle algebras\n\n\nAbs tract\nUsing the various definitions of the classical braid group (diagram matic presentation\, mapping class group\, fundamental group of configurat ion space)\, Khovanov and Seidel constructed in their seminal article of 2 000 an action of the braid group on a category of algebraic nature that ca tegorifies the Burau representation. They proved the faithfulness of this action through the study of curves in a punctured disk (while Burau repres entation is not faithful for braids with five strands or more). In an arti cle with Anne-Laure Thiel and Emmanuel Wagner\, we extended this result to the braid group of the cylinder. The work of Khovanov and Seidel also had a faithful symplectic categorical action that we generalise to our cylind rical case in a joint work in progress. In this talk\, I will explain some ingredients and strategy involved to obtain these categorical actions and faithfulness results.\n LOCATION:https://researchseminars.org/talk/SRSTOPO/3/ END:VEVENT END:VCALENDAR