Mon, 27 Apr 2026
16:30 -
17:30
L4
Stationary points of conformally invariant polyconvex energies
Dr. André Guerra
(Department of Applied Mathematics and Theoretical Physics University of Cambridge)
Abstract
In this talk I will discuss recent work, with R. Tione, on the regularity of stationary points for a class of planar polyconvex integrands which are conformally-invariant, a natural assumption in view of geometric applications. We prove that, in two dimensions, stationary points are smooth away from a discrete set. We also show full C^1-regularity for orientation-preserving solutions, which appear naturally in minimization problems of Teichmüller type.