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250121 VO Advanced topics in mathematical logic (2020W)

4.00 ECTS (2.00 SWS), SPL 25 - Mathematik

Registration/Deregistration

Details

Language: English

Examination dates

Lecturers

Classes (iCal) - next class is marked with N

Thursday 01.10. 14:00 - 15:00 Digital
Tuesday 06.10. 14:00 - 15:00 Digital
Thursday 08.10. 14:00 - 15:00 Digital
Tuesday 13.10. 14:00 - 15:00 Digital
Thursday 15.10. 14:00 - 15:00 Digital
Tuesday 20.10. 14:00 - 15:00 Digital
Thursday 22.10. 14:00 - 15:00 Digital
Tuesday 27.10. 14:00 - 15:00 Digital
Thursday 29.10. 14:00 - 15:00 Digital
Tuesday 03.11. 14:00 - 15:00 Digital
Thursday 05.11. 14:00 - 15:00 Digital
Tuesday 10.11. 14:00 - 15:00 Digital
Thursday 12.11. 14:00 - 15:00 Digital
Tuesday 17.11. 14:00 - 15:00 Digital
Thursday 19.11. 14:00 - 15:00 Digital
Tuesday 24.11. 14:00 - 15:00 Digital
Thursday 26.11. 14:00 - 15:00 Digital
Tuesday 01.12. 14:00 - 15:00 Digital
Thursday 03.12. 14:00 - 15:00 Digital
Thursday 10.12. 14:00 - 15:00 Digital
Tuesday 15.12. 14:00 - 15:00 Digital
Thursday 17.12. 14:00 - 15:00 Digital
Thursday 07.01. 14:00 - 15:00 Digital
Tuesday 12.01. 14:00 - 15:00 Digital
Thursday 14.01. 14:00 - 15:00 Digital
Tuesday 19.01. 14:00 - 15:00 Digital
Thursday 21.01. 14:00 - 15:00 Digital
Tuesday 26.01. 14:00 - 15:00 Digital
Thursday 28.01. 14:00 - 15:00 Digital

Information

Aims, contents and method of the course

This will be a course in the Borel structure of quotients of standard Borel spaces by Borel equivalence relations.

The first half of the course will consist primarily of positive results concerning the algebraic structure of Borel automorphisms of (not necessarily standard) Borel spaces--although it will also touch on a few ergodic-theoretic results--and has no serious prerequisites.

The second half of the course will consist of dichotomy theorems characterizing the circumstances under which the results from the first half apply, which we will use to derive further algebraic properties. A basic knowledge of descriptive set theory and the G_0 dichotomy (as can be found in the lecture notes on my web site) will be necessary for this half of the course.

Assessment and permitted materials

Minimum requirements and assessment criteria

Examination topics

Reading list


Association in the course directory

MLOV

Last modified: We 24.02.2021 18:09