# abstract

LIE GROUPS, REPRESENTATIONS AND DISCRETE MATH | |

Topic: | Linear Representations and Arithmeticity of Lattices in Products of Trees |

Speaker: | Shahar Mozes |

Affiliation: | IAS |

Date: | Tuesday, January 17 |

Time/Room: | 2:00pm - 3:15pm/S-101 |

Closed subgroups of the automorphism group of a tree which acts locally primitively have a rich structure theory. Combined with superrigidity for irreducible lattices in products of trees such that the projection in each factor is locally primitive one shows that such a lattice admits an infinite linear image over a field of charactersitic zero only when it is an extension of an arithmetic lattice. Joint work with Marc Burger and Bob Zimmer