BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Alessandro Pigati (New York University\, Courant Institute) DTSTART:20220518T120000Z DTEND:20220518T140000Z DTSTAMP:20260423T005831Z UID:NCTS-GMT/10 DESCRIPTION:Title: (Non-)quantization phenomena for higher-dimensional Ginzburg-Landau vort ices\nby Alessandro Pigati (New York University\, Courant Institute) a s part of NCTS international Geometric Measure Theory seminar\n\n\nAbstrac t\nThe Ginzburg-Landau energies for complex-valued maps\, initially introd uced to model superconductivity\, were later found to approximate the area functional in codimension two.\n\nWhile the pioneering works of Lin-Rivi ère and Bethuel-Brezis-Orlandi (2001) showed that\, for families of criti cal maps\, energy does concentrate along a codimension-two minimal submani fold\, it has been an open question whether this happens with integer mult iplicity. In this talk\, based on joint work with Daniel Stern\, we show t hat\, in fact\, the set of all possible multiplicities is precisely $\\{1\ \} \\cup [2\,\\infty)$.\n\nGet-together (30 min) $\\cdot$ presentation Ale ssandro Pigati (60 min) $\\cdot$ questions and discussions (30 min).\n LOCATION:https://researchseminars.org/talk/NCTS-GMT/10/ END:VEVENT END:VCALENDAR