# abstract

LIE GROUPS, REPRESENTATIONS AND DISCRETE MATH | |

Topic: | Normal Subgroups of the Multiplicative Group of a Finite Dimensional Division Algebra, and Valuations |

Speaker: | Andrei S. Rapinchuk |

Affiliation: | IAS |

Date: | Tuesday, December 20 |

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

I will discuss a proof of the fact that given a finite dimensional division algebra D over an arbitrary field, any finite quotient of the multiplicative group D^* is solvable (joint work with Y.Segev and G.Seitz). Time permitting, I will also talk about some recent results that enable one to give a short proof of the Margulis-Platonov conjecture for the groups SL_{1,D}.