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Universal lattices and indecomposable elements in real multiquadratic fields

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Speaker: 
Siu Hang Man
Affiliation: 
Universita Karlova
Date: 
Thu, 14/09/2023 - 12:20 - 12:40
Location: 
MPIM Lecture Hall

We show that for most real multiquadratic fields, the minimal rank of universal lattices and the number of indecomposable elements are high. The main ingredients are continued fractions and a reverse Minkowski theorem for lattices.

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