Geometric Analysis and Topology Seminar

The Kakeya needle problem for rectifiable sets

Speaker: Alan Chang, Princeton University

Location: Warren Weaver Hall 512

Videoconference link: https://nyu.zoom.us/j/95759976381

Date: Friday, November 4, 2022, 11 a.m.

Synopsis:

We show that the classical results about rotating a line segment in arbitrarily small area, and the existence of a Besicovitch and a Nikodym set hold if we replace the line segment by an arbitrary rectifiable set. This is joint work with Marianna Csörnyei.