BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Silvia Ghinassi (University of Washington) DTSTART:20210308T170000Z DTEND:20210308T175000Z DTSTAMP:20260423T010235Z UID:anpdews/53 DESCRIPTION:Title: On the regularity of singular sets of minimizers for the Mumford-Shah ene rgy\nby Silvia Ghinassi (University of Washington) as part of HA-GMT-P DE Seminar\n\n\nAbstract\nThe Mumford-Shah functional was introduced by Mu mford and Shah in 1989 as a variational model for image reconstruction. Th e most important regularity problem is the famous Mumford-Shah conjecture\ , which states that (in 2 dimensions) the closure of the jump set can be d escribed as the union of a locally finite collection of injective $C^1$ ar cs that can meet only at the endpoints\, in which case they have to form t riple junctions. If a point is an endpoint of one (and only one) of such a rcs\, it is called cracktip. In this talk\, I plan to survey some older re sults concerning the regularity of Mumford-Shah minimizers and their singu lar sets\, and discuss more recent developments (the talk is based on join t work with Camillo De Lellis and Matteo Focardi).\n LOCATION:https://researchseminars.org/talk/anpdews/53/ END:VEVENT END:VCALENDAR