Uniformizing surfaces with conical singularities

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• Andrea Malchiodi (University of Warwick)
• Monday 13 May 2013, 15:00-16:00
• CMS, MR13.

If you have a question about this talk, please contact Prof. Neshan Wickramasekera.

We consider the problem of finding a conformal metric on a compact surface in such a way that the Gaussian curvature becomes constant and so that at a finite number of points a prescribed conical structure is obtained. The problem has a variational structure, and differently from the “regular” case the Euler-Lagrange functional might be unbounded from below. We will look for critical points of saddle type using a combination of improved geometric inequalities and topological methods. This is joint work with D. Bartolucci, A. Carlotto, F. De Marchis and D. Ruiz.

This talk is part of the Partial Differential Equations seminar series.

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