# Mathematics Colloquia and Seminars

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### Asymptitic characteristics of the countable groups and boundaries

**Colloquium**

Speaker: | Professor Anatoly Vershik, Steklov Mathematical Institute, S.Petersburg, Russia and MSRI) |

Location: | 693 Kerr |

Start time: | Mon, May 7 2001, 4:10PM |

There are three main asymptotic characterisitcs of the countable groups - logarithmic volume, entropy and drift and some inequality between them. The problem is to find the cases when it becomes as equality and to calculate its. For some exapmles like braid groups and similar to this groups there are new results. The explicit description of Poisson-Furstenberg boundaries will be discussed.

Refreshments are served in 693 at 3:45 p.m.