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Math 253 - Dynamics and Rigidity

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References

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Schedule

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Homework & Notes

Homework problems are at the end of the Lecture Notes (available upon request).

Time: |
Tuesday/Thursday 11:30am-1pm |

Location: |
Science Center 310 |

Office Hours: |
Science Center 524, Thursdays 1:30-2:30pm or by appointment |

[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 |

Week | Topic |
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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 problems are at the end of the Lecture Notes (available upon request).