For more information about this meeting, contact Robert Vaughan.

Title: | Generating an algebra from the probabilistic standpoint |

Seminar: | Algebra and Number Theory Seminar |

Speaker: | Bogdan Petrenko, SUNY Brockport |

Abstract: |

Let A be a ring whose additive group is free abelian of finite rank. The topic of this talk is the following question: what is the probability that several random elements of A generate it as a ring? After making this question precise I will show that it has an interesting answer which can be interpreted as a local-global principle. Some applications will be discussed. This talk will be based on my joint work with with Rostyslav Kravchenko (University of Chicago) and Marcin Mazur (Binghamton University). |

### Room Reservation Information

Room Number: | MB106 |

Date: | 10 / 18 / 2012 |

Time: | 11:15am - 12:05pm |