 Location
 MSRI: Simons Auditorium
 Video

 Abstract
The classical Analyst's Traveling Salesman Theorem of Peter Jones gives a condition for when a subset of Euclidean space can be contained in a curve of finite length (or in other words, when a "traveling salesman" can visit potentially infinitely many cities in space in a finite time). The length of this curve is given by a square sum of quantities called betanumbers that measure how nonflat the set is at each scale and location. Conversely, given such a curve, the square sum of its betanumbers is controlled by the total length of the curve, giving us quantitative information about how nonflat the curve is. This result and its subsequent variants have had applications to various subjects like harmonic analysis, complex analysis, and harmonic measure. In this talk, we will introduce a version of this theorem that holds for higher dimensional surfaces. This is joint work with Raanan Schul.
 Supplements

