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New complex analytic methods in the theory of minimal surfaces

Franc Forstnerič
Institution: 
University of Ljubljana
Location: 
Luigi Stasi Seminar Room, ICTP
Schedule: 
Thursday, November 22, 2018 - 14:30
Abstract: 

In this talk, I will present some recent developments in the theory of minimal surfaces in Euclidean spaces which have been obtained as applications of both classical and modern complex analytic methods. The emphasis will be on results pertaining to the global theory of minimal surfaces, including the Calabi-Yau problem, constructions of properly immersed and embedded minimal surfaces in $\mathbb{R}^n$ and in minimally convex domains of $\mathbb{R}^n$, results on the complex Gauss map, and isotopies of conformal minimal immersions.

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