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Back to Algebraic Geometry Seminar: Spring 2018

Algebraic Geometry Seminar


Date: Tuesday, Feb 20, 2018

Time: 3:30PM - 4:30PM

Location: LCB 222


Tommaso de Fernex

University of Utah

Title

The complex Plateau problem

Abstract

The complex Plateau problem has been studied in the context of CR manifolds in works of Rossi (1965) and Harvey and Lawson (1975) where it is proved that every embedded strongly pseudoconvex compact CR manifold of dimension at least 3 is the boundary of a Stein space with isolated singularities. What remains to be determined are intrisic conditions on the CR manifold that guarantee that the Stein filling is smooth. In the talk I will survey this question and discuss some old and recent developments on the problem.

Algebraic Geometry

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