Nonlocal Differential Equations in Geometric Analysis

Topic: Armin Schikorra Colloquium
Time: Sep 4, 2020 03:00 PM Eastern Time (US and Canada)

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Meeting ID: 933 610 9307
Passcode: Pittmath

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Friday, September 4, 2020 - 03:30


Speaker Information
Armin Schikorra
University of Pittsburgh

Abstract or Additional Information

I will present how nonlocal differential equations appear quite naturally in certain fields of geometric analysis, in particular the geometric calculus of variations. I will start from the classical Plateau's problem and minimal surfaces, and end with modern-day questions about regularity and existence of extremal maps under variational functionals which involve topological constraints, such as knot energies.