Chern Lectures: Extension, discretization, and quantitative differentiation

Lecture | March 13 | 4:10-5 p.m. | Simons Institute, Auditorium,

 Assaf Naor, Princeton University

 Department of Mathematics

We will discuss questions about the relation between discrete phenomena and their continuous counterparts. This relates to extension of partially defined functions, Bourgain’s work on discretization and almost extension for a quantitative version of Ribe’s rigidity theorem, and differentiation questions that are well understood as infinitesimal phenomena but their macroscopic counterparts remain basic mysteries.