## Colloquium

# Spaces satisfying Poincare inequalities

## Bruce Kleiner (Courant Institute)

### Thursday, October 8, 2015
4:00 pm

MSB 109A

The lecture will be concerned with PI spacesmetric measure spaces that

are doubling and satisfy a Poincare inequality. These were introduced by

Heinonen-Koskela more than 20 years ago, and have been applied in differential geometry, geometric group theory, random walks, quasiconformal analysis, and bilipschitz embedding. The first part of the talk will be a survey. This will be followed by a discussion of some new examples and open questions.