Math 723: Topics in Group Theory and Dynamical Systems (Fall 2011)
The location has changed: BH1214 on Mondays and BH1120 on Wednesdays
Time: 14:35 to 15:55pm.
1 - What groups and dynamical systems are we interested in?
2 - Polish spaces and Borel maps: some early results in descriptive set theory
3 - Probability spaces and their automorphisms
4 - Actions of groups on probability spaces
8 - von Neumann algebras and traces
7 - Ergodic decompositions and desintegration theory
6 - Equivalence relations and invariant measures
5 - Borel maps with countable fibers
9 - The group measure space construction
10 - AF & AFD
11 - Amenability
12 - Amenable vs AF(D)
13 - The cost of a pmp equivalence relation
14 - The cycle-removal lemma
15 - Isoperimetry
18 - Counting sofic approximations
17 - Sofic equivalence relations
16 - The sofic property
19 - L2 Betti numbers