Alessio Figalli, Fields medallist 2018

Fine structure of measures satisfying a PDE constraint

speaker: Guido De Philippis (SISSA, Trieste e New York University)

abstract: In this talk I will present some new result concerning the structure of measure satisfying a linear PDE constraint. In 2016, in collaboration with Filip Rindler, we prove a first structural result concerning the singular part of measure subject to PDE constraint. This turned out to have several applications in GMT and in Geometric Analysis. Recently, in a joint work with Adolfo Arroyo Rabasa, Jonas Hirsch and Filip Rindler we improve upon this result proving a more precise structure on the “low” dimensional part of the measure. As a corollary we recover several known rectifiability results. In this talk I will try to give an overview of both these results and of their applications.

timetable:
Thu 17 Jan, 11:00 - 12:00, Aula Magna Bruno Pontecorvo
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