Calculus of Variations and Geometric Measure Theory

The Kakeya needle problem for rectifiable sets

Alan Chang

created by gelli on 12 Jun 2018

20 jun 2018 -- 18:00   [open in google calendar]

Sala Seminari Dipartimento di Matematica di Pisa

Abstract.

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.