Seminars & Colloquia Calendar
Uniqueness of blowups at isolated singularities for almost-area minimizers
Max Engelstein (MIT)
Location: Hill 425
Date & time: Tuesday, 30 April 2019 at 2:00PM - 3:00PM
Abstract: We prove a uniqueness of blowup result at isolated (multiplicity-one) singularities of (almost-)area minimizing currents. When the blowup has extra structure (i.e. integrability) we get a power rate of convergence.For minimizers, this reproves a result of Leon Simon (Annals, ’83) and similarly a key aspect of our proof is the Lojasiewicz inequality. However, our methods are purely variational, which allows us to study almost-minimizers (but prevents us from addressing stationary currents).
This is joint work with Luca Spolaor (MIT) and Bozhidar Velichkov (Universite Grenoble Alpes).