||Group actions on measure spaces:
||Uniform multiple recurrence:
|Lecture 1 - Definitions and constructions.
||Lecture 11 - Examples.
||Lecture 18 - Multiple recurrence for compact actions.
|Lecture 2 - Functions of positive type.
||Lecture 12 - The Koopman representation.
||Lecture 19 - Multiple recurrence for weak mixing actions.
|Lecture 3 - Cocycles.
||Lecture 13 - A remark about measure spaces.
||Lecture 20 - Joinings.
|Lecture 4 - Induced representations.
||Lecture 14 - Gaussian actions.
||Lecture 21 - The basic construction.
|Lecture 5 - Invariant vectors.
||Lecture 15 and 16 - Ergodic theorems.
||Lecture 22 - Ergodic, weak mixing, and compact extensions.
|Lecture 6 - Amenability.
||Lecture 17 - Recurrence theorems.
|Lecture 7 - Mixing properties.
|Lecture 8 - Compact representations.
|Lecture 9 - Weak mixing for amenable groups.
|Lecture 10 - Weak containment.