Seminar

Andrea Mondino - Optimal Transport, weak Laplacian bounds and minimal boundaries in non-smooth spaces with Lower Ricci Curvature bounds

The goal of the seminar is to report on recent joint work with Daniele Semola, motivated by a question of Gromov to establish a “synthetic regularity theory" for minimal surfaces in non-smooth ambient spaces.

In the setting of non-smooth spaces with lower Ricci Curvature bounds:

Filip Rindler - Space-time integral currents of bounded variation

I will present aspects of a theory of space-time integral currents with bounded variation in time. This is motivated by a recent model for elasto-plastic evolutions that are driven by the flow of dislocations (this model is joint work with T. Hudson). The classical scalar BV-theory can be recovered as the 0-dimensional limit case of this BV space-time theory.