Spaces satisfying Poincare inequalities
Bruce Kleiner (Courant Institute)
Thursday, October 8, 2015
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.