2014 Theme Semester on Convex Integration and Analysis

Wednesday, October 30, 2013

The goal of the Semester is to expose graduate students, visitors and faculty to some important techniques and results in modern Mathematical Analysis, with an orientation towards Geometric Analysis and Convex Integration. The theory of Convex Integration originates in the work of Nash and Kuiper in 1950' where they showed that any given Riemannian manifold can be isometrically embedded in a Riemannian manifold of one higher dimension with a C^1-regular embedding. Later on, Gromov succeeded in resolving the same question in a more general framework of partial differential relations. Recently, new connections have been made between Convex Integration and Calculus of Variation, Fluid Mechanics, Microstructures and Nonlinear Elasticity.

The semester will consist of concentrated activities, including week-long five minicourses at graduate level, delivered by: V. Borelli, C. De Lellis, P. Lindqvist, A. Malchiodi and L. Szekelyhidi Jr. The Semester will also include a workshop "Advances in Nonlinear Analysis" in March 13-15, 2014.