October 29, 2019
2:00PM - 3:00PM
Cockins Hall 240
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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
OSU ASC Drupal 8
ascwebservices@osu.edu
America/New_York
public
Date Range
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.