Workshop on Advances in Surface Theory

Workshop in connection with the LMS Regional Meeting 2013


Click HERE for the programme!


The Workshop:

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.


Jacob Bernstein (Cambridge) Characterizing classical minimal surfaces via a new meromorphic quadratic differential
Frederic Helein (Paris) Integration of non linear conservation laws
Sebastian Heller (Tübingen) Higher genus CMC surfaces in the 3-sphere via integrable systems
Martin Kilian (Cork) On moduli spaces in integrable surface geometry
Rob Kusner (Amherst) CMC surfaces in Riemannian fibrations
Mario Micallef (Warwick) TBA
Andre Neves (London) Min-max theory in geometry
Franz Pedit (Amherst, Tübingen) Space of conformal immersions and conformal Willmore flow
Pascal Romon (Paris) Spinors in R4
Felix Schulze (London) The half-space property and entire positive minimal graphs in M x R
Giuseppe Tinaglia (London)
On the topology of the limits of a sequence of embedded minimal disks
Peter Topping (Warwick)
Flowing maps to minimal surfaces

Abstracts and Slides:

Click HERE for abstracts and slides of talks!

Workshop photos:




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