February 7, 2020
2:30PM - 3:30PM
CH 240
Add to Calendar
2020-02-07 15:30:00
2020-02-07 16:30:00
Marion Recruitment Talk -- Scott Zimmerman
Title: Analysis on curves in Carnot groups
Abstract: Carnot groups are particularly nice Lie groups, and these manifolds provide mathematical models for scenarios in which motion is controlled by predefined constraints. Such restrictions endow a Carnot group with a non-smooth structure and unusual geometric properties. This unconventional framework requires the development of new and creative solutions to questions of classical analysis. For example, I will illustrate the impact of a Carnot group's metric structure on the smooth extendability of paths, the 1-rectifiability of sets, and the boundedness of singular integral operators defined along curves.
CH 240
OSU ASC Drupal 8
ascwebservices@osu.edu
America/New_York
public
Date Range
Add to Calendar
2020-02-07 14:30:00
2020-02-07 15:30:00
Marion Recruitment Talk -- Scott Zimmerman
Title: Analysis on curves in Carnot groups
Abstract: Carnot groups are particularly nice Lie groups, and these manifolds provide mathematical models for scenarios in which motion is controlled by predefined constraints. Such restrictions endow a Carnot group with a non-smooth structure and unusual geometric properties. This unconventional framework requires the development of new and creative solutions to questions of classical analysis. For example, I will illustrate the impact of a Carnot group's metric structure on the smooth extendability of paths, the 1-rectifiability of sets, and the boundedness of singular integral operators defined along curves.
CH 240
Department of Mathematics
math@osu.edu
America/New_York
public
Title: Analysis on curves in Carnot groups
Abstract: Carnot groups are particularly nice Lie groups, and these manifolds provide mathematical models for scenarios in which motion is controlled by predefined constraints. Such restrictions endow a Carnot group with a non-smooth structure and unusual geometric properties. This unconventional framework requires the development of new and creative solutions to questions of classical analysis. For example, I will illustrate the impact of a Carnot group's metric structure on the smooth extendability of paths, the 1-rectifiability of sets, and the boundedness of singular integral operators defined along curves.
