Quasiconvexity and its applications
Quasiconvexity was originally introduced as a condition to understand the closely related questions of lower semicontinuity and existence in the calculus of variations. In the last ten years is has become clear that quasiconvexity is also at the root of many fundamental problems in applications, in particular when a change of scale is involved. Examples include the analysis of microstructure, variational models of dislocation structures, the passage from atomistic to continuum models and hybrid analytical-computational approaches to multiscale problems. At the same time quasiconvexity has important applications to pure mathematics such as the theory of quasiconformal mappings, multidimensional calculus and nonlinear partial differential equations including the 'coarse' or 'soft' approach.
The study of quasiconvexity is a challenging and fertile arena for a genuine two-way interaction between deep mathematical questions and important problems in applied science. This conference, which marks the 50th anniversary of C. B. Morrey's landmark paper on Quasiconvexity, will bring together a carefully selected group of speakers representing a broad spectrum of views on quasiconvexity and its applications at the highest level. At the same time it will provide an excellent opportunity for postdocs and PhD students to enter the field.
A short course "<link internal>An introduction to quasiconvexity" will be held by John Ball on November 12-13.
- Deutsche Forschungsgemeinschaft (through Leibniz prize to S. Müller)
- National Science Foundation
- Program in Applied and Computational Mathematics at Princeton University
The workshop also forms part of the Oxford-Princeton Mathematics Research Collaboration.