The seminar “Metric properties of expanders” took place at St. John’s University in Spring 2013 (on Wednesdays, from 1:50 to 3:15 PM, St. John Hall, room 112). The links below lead to summaries of the talks and discussions.

1. Part I: Introduction. Contents: (1) Some important classes of expanders; (2) Some basic results on classification of expanders; (3) Some open problems on the structure of expanders.

2. Part 2: Coarse embeddings. Contents: (1) Open problems on coarse embeddability; (2) Coarse non-embeddability into L1.

3. Part 3: Coarse embeddings (continuation); Ozawa’s theorem

4. Part 4: Towards characterization of spaces with bounded geometry which are not coarsely embeddable into a Hilbert space

5. Part 5: Expansion properties of metric spaces not admitting a coarse embedding into a Hilbert space