Chern Lectures: Nonpositive curvature is not coarsely universal

Lecture | March 15 | 4:10-5 p.m. | Simons Institute, Auditorium,

 Assaf Naor, Princeton University

 Department of Mathematics

We will discuss coarse embeddings into Alexandrov spaces of nonpositive or nonnegative curvature. By studying subtle invariants that initially arose within the Ribe program and discretization questions, we will answer a question of Gromov (1993) about the coarse universality of Hadamard spaces. Connections to important questions such as the existence of super-expanders will be explained.