LIE GROUPS, REPRESENTATIONS AND DISCRETE MATH | |

Topic: | Cartesian Products as Profinite Completions and Representation Growth of Groups |

Speaker: | Martin Kassabov |

Affiliation: | Cornell University |

Date: | Tuesday, March 21 |

Time/Room: | 4:00pm - 5:00pm/S-101 |

We prove that if a Cartesian product of alternating groups is topologically finitely generated, then it is the profinite completion of a finitely Generated residually finite group. The same holds for Cartesian products of other simple groups under some natural restrictions. Using this construction we can show that there exist finitely generated groups with (almost) arbitrary representation growth. (joint work with N. Nikolov)