# Rank-one convexity and integral estimates

## Jan Kristensen

### (Mathematical Institute, University of Oxford)

Date: Jun 30, 2014, time: 17:20

Abstract. It is known that many interesting questions about sharp integral estimates involving
derivatives of mappings can be reformulated as questions about quasiconvexity properties
of associated integrands. In this talk we discuss the strong convexity properties of
one--homogeneous rank--one convex integrands and some of their consequences
for integral estimates.
The talk is based on joint work with Bernd Kirchheim (Leipzig).