Attività del Dipartimento

I Tè di Matematica

In this talk I will describe the problem of prescribing Gaussian curvature on compact surfaces, namely: given a smooth function on a surface, deform the surface so that the Gaussian curvature at any point coincides with the given function. I will then talk about the generalization of this problem to surfaces with boundary or with singular points. Such problems, in principle purely geometric, actually have a totally equivalent formulation in terms of partial differential equations, which I will discuss in the second part of the talk.