Logo

Mathematical Sciences Research Institute

Home » Harmonic Analysis Seminar: Convenient Coordinates

Seminar

Harmonic Analysis Seminar: Convenient Coordinates April 19, 2017 (02:00 PM PDT - 03:00 PM PDT)
Parent Program: Harmonic Analysis
Location: MSRI: Simons Auditorium
Speaker(s) Brian Street (University of Wisconsin-Madison)
Description No Description
Video
No Video Uploaded
Abstract/Media

We discuss the method of picking a convenient coordinate system adapted to vector fields.  Let X_1,...,X_q be either real or complex C^1 vector fields.  We discuss the question of when there is a coordinate system in which the vector fields are smoother (e.g., C^m or C^\infty).  By answering this in a quantitative way, we obtain coordinate charts which can be used as generalized scaling maps.  When the vector fields are real this is joint work with Stovall, and continues in the line of quantitative sub-Riemannian geometry initiated by Nagel, Stein, and Wainger.  When the vector fields are complex one obtains a geometry with more structure which can be thought of as "sub-Hermitian".

No Notes/Supplements Uploaded No Video Files Uploaded