# abstract

COMPUTER SCIENCE/DISCRETE MATH II | |

Topic: | Property Tau and the Product Replacement Algorithm |

Speaker: | Alex Lubotzky |

Affiliation: | IAS |

Date: | Tuesday, September 27 |

Time/Room: | 10:30am - 12:30pm/S-101 |

The product replacement algorithm is a commonly used algorithm to generate a random element in a finite group. While its performance is quite outstanding, its theretical understanding is quite poor. We will present a joint work with Igor Pak (JAMS 2001) which suggests a conceptual way to study this algorithm and gives some partial results. Some quetions and directions developed following that work will also be presented.