The Spanish Royal Mathematical Society (RSME) and the International University Menéndez-Pelayo (UIMP) organize the Mathematics School "Lluís Santaló" every year since 2002. Every year, the School is devoted to a specific topic. In the recent years, there is an increasing mathematical interest in the interaction between Differential Geometry and Partial Differential Equations, a branch of Mathematics called Geometric Analysis. This increasing interest is supported, for instance, by the large number of speakers in the next ICM in Hyderabad (India) working in the fleld of Geometric Analysis. Different problems coming from areas apparently far, have been solved by application of tools in Geometric Analysis: among others, we can mention the solution by R. Schoen and S. T. Yau of the positive mass conjecture, and the more recent positive answer by G. Perelman to the Poincaré conjecture.

Intived speakers

• Mark Haskins (Imperial College): Exceptional holonomy and calibrated submanifolds
• Yanyan Li (Rutgers University (EEUU)):
  • On a fully nonlinear version of the Yamabe problem I
  • On a fully nonlinear version of the Yamabe problem II
  • On a fully nonlinear version of the Yamabe problem III
• William H. Meeks III (University of Massachusetts, Amherst):
  • Constant mean curvature surfaces in homogeneous 3-manifold Is
  • Constant mean curvature surfaces in homogeneous 3-manifold II
  • Constant mean curvature surfaces in homogeneous 3-manifold III
• Pablo Mira (Universidad Politécnica de Cartagena): Geometric PDE's in the presence of isolated singularities
• Robert Neel (Lehigh University): Brownian motion on minimal surfaces
• Frank Pacard (Ecole Polytechnique (Paris)):
  • Geometric aspects of the semilinear elliptic PDE's I
  • Geometric aspects of the semilinear elliptic PDE's I I
  • Geometric aspects of the semilinear elliptic PDE's III
• Harold Rosenberg (Instituto Nacional de Matemática Pura e Aplicada):
  • Introduction to the work of Colding-Minicozzi on minimal surfaces in $\mathbb{R}^3$ I
  • Introduction to the work of Colding-Minicozzi on minimal surfaces in $\mathbb{R}^3$ II
  • Introduction to the work of Colding-Minicozzi on minimal surfaces in $\mathbb{R}^3$ III
• Giuseppe Tinaglia (King's College London): Curvature estimates and applications