Manchester Algebra Seminar - James Timmins
| Dates: | 30 November 2021 |
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| Times: | 13:00 - 14:00 |
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| What is it: | Seminar |
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| Organiser: | Department of Mathematics |
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| Who is it for: | University staff, Current University students |
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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
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Frank Adams
Alan Turing Building
Manchester
