BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Fabian Haiden (University of Oxford\, UK) DTSTART:20210610T110000Z DTEND:20210610T120000Z DTSTAMP:20260423T005754Z UID:LAGOON/43 DESCRIPTION:Title: New 3CY categories of topological surfaces\nby Fabian Haiden (Universi ty of Oxford\, UK) as part of Longitudinal Algebra and Geometry Open ONlin e Seminar (LAGOON)\n\n\nAbstract\nTo a topological surface\, perhaps with certain markings\, one can attach several different triangulated categorie s whose objects are\, roughly speaking\, curves on the surface. One such e xample is the Fukaya category of the surface\, another is the 3-d Calabi-Y au (3CY) category of an ideal triangulation. These have proven useful\, am ong other things\, in the study of Bridgeland stability conditions and the representation theory of finite-dimensional algebras. In the recent prepr int arXiv:2104.06018 I introduce yet another class of triangulated A-infin ity categories of surfaces. The motivation for constructing them was to ex tend the work of Bridgeland-Smith on stability conditions and quadratic di fferentials to the finite area case (e.g. holomorphic differentials). They are closely related to the existing triangulated categories of surfaces a nd clarify the relation between them. Their construction involves some alg ebraic tricks\, such as twisted complexes and modules over curved A-infini ty categories\, which will be discussed in detail.\n\nhttps://us02web.zoom .us/j/87160036709?pwd=aGtBdkx4VDFuY0l2UlkzRFdiYUF3dz09 \nMeeting ID: 871 6 003 6709\nPasscode: LAGOON\n LOCATION:https://researchseminars.org/talk/LAGOON/43/ END:VEVENT END:VCALENDAR