The lecture takes place every Tuesday and Friday 10:15 - 11:50.
The excersise session is every Wednesday 14:15 - 15:45.
The course is in the hybrid form. If you are interested, please email me for zoom coordinates.
Topics that we plan to cover:
Basics:
Polish spaces and Polish groups
Cantor and Lusin schemes
Kuratowski-Ulam Theorem
Mycielski Theorem
Borel hierarchy
Analytic and coanalytic sets
Definable equivalence relations:
Borel reducibility
Classification problems and Hjorth's turbulence theory
Countable Borel equivalence relations
Feldman-Moore Theorem
Smooth and hyperfinite Borel equivalence relations
Glimm-Effros dichotomy