MATH Seminar
| Title: Upper bounds for Euclidean minima of abelian fields |
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| Seminar: Algebra |
| Speaker: Eva Bayer of EPFL |
| Contact: David Zureick-Brown, dzb@mathcs.emory.edu |
| Date: 2012-10-17 at 3:00PM |
| Venue: W306 |
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| Abstract: The Euclidean division is a basic tool when dealing with the ordinary integers. It does not extend to rings of integers of algebraic number fields in general. It is natural to ask how to measure the 'deviation' from the Euclidean property, and this leads to the notion of Euclidean minimum. The case of totally real number fields is of especial interest, in particular because of a conjectured upper bound (conjecture attributed to Minkowski). The talk will present some recent results, obtained jointly with Piotr Maciak. |
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