Geometric Analysis

Geometric analysis represents one of the currently most active and exciting areas of mathematics. It lies at the intersection of differential geometry, analysis, partial differential equations and mathematical physics, and is having a profound impact on all of these fields, leading to the resolution of many conjectures as well as stimulating important new avenues of research. The workshop will focus on three of the most active subareas of the subject, namely geometric flows, variational methods and mathematical relativity. It will also cover the general topic of manifolds with controlled Ricci tensor, which has not only seen spectacular progress over the past few years, but which is currently accumulating many promising links with geometric flows and a wide array of applications. This workshop will bring together the leaders in the field, and make their interaction and ideas accessible to a wide audience, particularly of UK mathematicians. The UK has seen an impressive rise in geometric analysis over the past decade, and the training of PhD students and postdocs is beginning to accelerate. The workshop will provide first-hand access for these students and postdocs to the forefront of current research. This workshop is jointly funded by ICMS and the Singularities of Geometric Partial Differential Equations EPSRC programme grant.

There are a number of spaces available at the workshop for public applicants.