LMS Midlands Regional Meeting & Workshop "Advances in Surface Theory"
Since the mid-1980's the study of surfaces which are critical points of some natural functional has developed under two essentially independent lines of investigation.
The first is the continued development of methods of functional analysis, via the study of partial differential equations. As the tools of this approach have become more finely tuned and better understood, the past 10 years have seen an enormous explosion of success, mainly through the study of geometric evolution equations (such as mean curvature flow).
The second line of investigation began its modern incarnation in geometry through Wente's counterexample to the Hopf conjecture regarding CMC tori in Euclidean 3-space. From this arose the application of integrable systems methods, which are the only tool available for understanding the bewilderingly complicated collection of CMC immersions of tori.
The purpose of this meeting is to bring experts from both of these lines of investigation together to encourage a synthesis of viewpoints