Home

Time: Tuesday/Thursday 11:30am-1pm
Location: Science Center 310
Office Hours: Science Center 524, Thursdays 1:30-2:30pm or by appointment


References

[WM] Witte Morris - Introduction to Arithmetic Groups
[EW] Einsiedler, Ward - Ergodic Theory with a view towards Number Theory
[Z] Zimmer - Ergodic Theory and Semisimple Groups
[MET] Lectures on the Oseledets Multiplicative Ergodic Theorem


Schedule


Week Topic
23 - 25 Jan 2018 Introduction, Birkhoff
30 Jan - 1 Feb 2018 Examples, Oseledets
6 - 8 Feb 2018 Algebraic Groups
13 - 15 Feb 2018 Algebraic Groups & Measure Theory
20 - 22 Feb 2018 Unitary representations, Howe--Moore
27 Feb - 1 Mar 2018 Property (T), Real semisimple groups
6 - 8 Mar 2018 Amenability, Start on super-rigidity
Spring Break
20 - 22 Mar 2018 Super-rigidity, Arithmeticity
27 - 29 Mar 2018 Canceled (both classes)
3 - 5 Apr 2018 Unipotent rigidity
10 - 12 Apr 2018 Oppenheim conjecture, Entropy
17 - 19 Apr 2018 Diagonal actions
24 -26 Apr 2018 More diagonal actions


Homework & Notes


The preliminary lecture notes below should be used with care; the notes are incomplete at the moment, several topics are missing. Please let me know if you spot any errors.
Homework problems are at the end of the Lecture Notes.