**UM Math Graduate Students Seminar**

Armando Cabrera

* University of Miami *

**will present**

**The Weyl Problem **

Friday, February 14, 2013, 2:30pm

Ungar Building Room 506

**Abstract:**In 1916 Hermann Weyl described the following problem: Given a metric g with positive Gaussian curvature on the sphere S^2, is it realizable as a convex surface in R^3? If was not util 1953 when this problem was solved independently by Pogorelov and Nirenberg. In this talk we will go over the basic concepts of differential geometry to understand the Weyl problem and describe Nirenberg's proof.

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