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Analysis and Operator Theory Seminar - Tyler Bongers

Tyler Bongers
October 29, 2019
2:00PM - 3:00PM
Cockins Hall 240

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Add to Calendar 2019-10-29 14:00:00 2019-10-29 15:00:00 Analysis and Operator Theory Seminar - Tyler Bongers Title: Geometric regularity of quasiconformal maps Speaker: Tyler Bongers -Washington University St. Louis Abstract: Quasiconformal maps are orientation-preserving homeomorphisms with nice geometric distortion properties; infinitesimally, they map circles to ellipses with uniformly bounded eccentricity. In the plane, they generalize conformal maps in a way that models an elastic material. The infinitesimal behavior leads to strong regularity results, and is closely connected with the regularity of solutions for a general elliptic partial differential equation. In this talk, we consider some of the regularity properties of quasiconformal maps, and use the geometry and underlying PDE to improve regularity and constrain the extremizers. Cockins Hall 240 Department of Mathematics math@osu.edu America/New_York public

Title: Geometric regularity of quasiconformal maps

Speaker: Tyler Bongers -Washington University St. Louis

Abstract: Quasiconformal maps are orientation-preserving homeomorphisms with nice geometric distortion properties; infinitesimally, they map circles to ellipses with uniformly bounded eccentricity. In the plane, they generalize conformal maps in a way that models an elastic material. The infinitesimal behavior leads to strong regularity results, and is closely connected with the regularity of solutions for a general elliptic partial differential equation. In this talk, we consider some of the regularity properties of quasiconformal maps, and use the geometry and underlying PDE to improve regularity and constrain the extremizers.

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