4 – 8 July 2016

LMS-CMI Research School, University of Reading, Reading, UK

Organising Committee: Stefanos Aretakis (Princeton, USA) and Nikos Katzourakis (Reading, UK)

Course outline: The school will cover important recent developments in three central areas of mathematical analysis, namely Calculus of Variations, Geometric nonlinear PDE and Mathematical Physics. For each of these research areas there will be a course consisting of two mini-courses as follows

Course 1: Nonlinear PDE and Calculus of Variations

Lawrence C. Evans (Berkeley, USA) Adjoint methods for nonlinear PDE
Jan Kristensen (Oxford, UK) Convexity notions in the Calculus of Variations

Course 2: Geometric hyperbolic PDE, General Relativity & Fluid Dynamics

Mihalis Dafermos (Princeton, USA & Cambridge, UK) The stability problem for black holes
Gustav Holzegel (Imperial College London, UK) The formation of shocks in three dimensional fluid dynamics

Course 3: Geometric nonlinear PDE
Bernard Dacorogna (EPFL, CH) The pull-back equation for differential forms
Spyros Alexakis (Toronto, CAN) Geometric inverse problems and PDE

The school will also include distinguished guest lectures given by:
Robert Jensen Loyola University of Chicago (USA) Maximum principle techniques for fully nonlinear elliptic PDEs
Juan Manfredi Pittsburgh (USA) Obstacle problems for the p-Laplacian via optimal stopping of Tug-of-War games