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Inhomogeneous minima of mixed signature lattices

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Speaker: 
Peter Jossen
Affiliation: 
ETHZ
Date: 
Thu, 2017-01-12 11:15 - 12:15
Location: 
MPIM Lecture Hall
Parent event: 
Number theory lunch seminar

The euclidean minimum of a number field is a real number, which measureshow far the
number field is from being euclidean with respect to the norm. A still open conjecture of
Minkowski predicts an upper bound for the euclidean minima of totally real number
fields in terms of the degree and the discriminant.
I will explain how a topological method due to McMullen can be used to produce upper
bounds for euclidean minima of arbitrary number fields in terms of signature and discriminant.

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