BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Marco Bonacini (University of Trento) DTSTART:20211029T130000Z DTEND:20211029T140000Z DTSTAMP:20260423T024456Z UID:VCU_ALPS/14 DESCRIPTION:Title: Nonlocal variational problems on polygons\nby Marco Bonacini (Univer sity of Trento) as part of VCU ALPS (Analysis\, Logic\, and Physics Semina r)\n\n\nAbstract\nIn this talk I will discuss some recent results regardin g the optimality of polygonal shapes for some nonlocal variational problem s. In the first part of the talk I will discuss the minimization of an ene rgy functional given by the sum of a crystalline perimeter and a nonlocal interaction of Riesz type: I will exhibit a class of polygonal Wulff shape s which uniquely minimize these energies in the small volume regime. In th e second part of the talk I will discuss the optimality of regular polygon s for nonlocal energies of generalized Riesz-type in the class of polygons with a fixed number of sides and fixed area\, as well as their characteri zation as unique stationary point. These results are joint work with R. Cr istoferi and I. Topaloglu.\n LOCATION:https://researchseminars.org/talk/VCU_ALPS/14/ END:VEVENT END:VCALENDAR