Analysis Seminar | |

Topic: | Thin monodromy and Lyapunov exponents, via Hodge theory |

Speaker: | Simion Filip |

Affiliation: | Harvard University |

Date: | Wednesday, November 15 |

Time/Room: | 11:00am - 12:00pm/S-101 |

Video Link: | https://video.ias.edu/analysis/2017/1115-SimionFilip |

I will discuss a connection between monodromy groups of variations of Hodge structure and the global behavior of the associated period map. The large-scale information in the period map is contained in the Lyapunov exponents, which are invariants coming from dynamical systems. In some cases when the monodromy group is thin, i.e. infinite-index in the relevant arithmetic lattice, one can construct new geometric objects that cannot exist in the arithmetic case.