BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Paul Minter (Stanford University) DTSTART:20260121T093000Z DTEND:20260121T113000Z DTSTAMP:20260423T024718Z UID:NCTS-GMT/33 DESCRIPTION:Title: Stationary Integral Varifolds near Multiplicity 2 Planes\nby Paul Mi nter (Stanford University) as part of NCTS international Geometric Measure Theory seminar\n\n\nAbstract\nA key open question in geometric measure th eory concerns the optimal regularity conclusion for stationary integral va rifolds. The primary difficulty for this lies in understanding branch poin ts\, namely non-immersed singular points where one tangent cone is a plane with multiplicity at least 2. Both the uniqueness of such tangent cones a nd the optimal dimension bound are not known (the latter is known for area minimising currents\, having been settled by the monumental work of Almgr en).\n\nIn this talk\, I will discuss recent work with Spencer Becker-Kahn and Neshan Wickramasekera concerning these questions\, in which we show t hat a simple topological structural condition on the varifold in “flat d ensity gaps” is sufficient to prove that the local structure about densi ty 2 branch points is given by a 2-valued function (with a regularity esti mate). This is a consequence of a more general epsilon-regularity theorem\ , akin to Allard’s regularity theorem except in a multiplicity 2 setting .\n LOCATION:https://researchseminars.org/talk/NCTS-GMT/33/ END:VEVENT END:VCALENDAR