# Manchester Algebra Seminar - James Timmins

Dates: | 30 November 2021 |
---|---|

Times: | 13:00 - 14:00 |

What is it: | Seminar |

Organiser: | Department of Mathematics |

Who is it for: | University staff, Current University students |

Speaker: James Timmins - Oxford

Title: Krull dimension of some Iwasawa algebras

Abstract: The Krull dimension of a commutative algebra measures the dimension of the corresponding variety, but for a non-commutative algebra it is often much harder to determine. In this talk we'll recall the definition of Krull dimension for non-commutative rings, and introduce the related notion of canonical dimension.

We'll apply these ideas to Iwasawa algebras, which are the appropriate "group algebras'' for compact p-adic analytic groups. Our main result is a bound on the Krull dimension of the Iwasawa algebra of SL_2(O_F), where F is a finite extension of the p-adic numbers. When F is a quadratic extension, we find the Krull dimension is exactly 5, as predicted by a conjecture of Ardakov and Brown.

Place: Frank Adams (and to be streamed online*)

- subject to equipment and connection

Tea and biscuits 12:45 in the foyer