## Uniformization of surfaces with conical singularities

Type:
Site:
Date:
22/05/2013 - 14:00 - 15:00
Salle:
2014
Orateur:
MALCHIODI Andrea
Localisation:
SISSA Trieste
Localisation:
Italie
Résumé:

We consider the problem of finding a conformal metric on a compact surface with constant Gaussian curvature and a prescribed conical structure at a given number of points. 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.