Analysis Seminar: Asaf Shachar (HUJI) "Regularity via minors and applications to conformal maps"

Wed, 21/11/201812:00-13:00
Room 70, Ross Building
Regularity via minors and applications to conformal maps.
Let f:\mathbb{R}^n \to \mathbb{R}^n be a Sobolev map; Suppose that the k-minors of df are smooth. What can we say about the regularity of f?
This question arises naturally in the context of Liouville's theorem, which states that every weakly conformal map is smooth. I will explain the connection of the minors question to the conformal regularity problem, and describe a regularity result for maps with regular minors.
If time permits, I will discuss these questions in the context of mappings between Riemannian manifolds.