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Topology/Geometry Seminar

Application of extremal length in elliptic estimates

Tianqi Wu (NYU)

Location:  Hill 525
Date & time: Tuesday, 13 November 2018 at 3:40PM - 4:40PM

Abstract: Extremal length is a conformal invariant which is useful in a wide variety of areas. Discrete extremal length on graphs is also useful in discrete potential theory and circle packing problems. In this talk we will report their new applications in gradient estimates for 2nd order (discrete) elliptic PDEs in divergence form. We will also give one motivating example, which is about synchronization conditions for coupled oscillators on lattices.

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