# abstract

LIE GROUPS, REPRESENTATIONS AND DISCRETE MATH | |

Topic: | Linear Representations of the Automorphism Group of a Free Group |

Speaker: | Fritz Grunewald |

Affiliation: | IAS |

Date: | Tuesday, March 21 |

Time/Room: | 2:10pm - 3:10pm/S-101 |

This talk is about joint work with A. Lubotzky. Let $F_n$ be the free group on $n\ge 2$ elements and $\A(F_n)$ its group of automorphisms. We have contructed new linear representations of $\A(F_n)$ arising through the action of finite index subgroups of it on relation modules of finite quotient groups of $F_n$. We show (under certain conditions) that the images of our representations are arithmetic groups.