Abstract: 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.
Il seminario si svolgerà in presenza presso il Dipartimento di Matematica e Fisica, Lungotevere Dante 476, aula M3.
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