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Successive minima and slopes of Euclidean lattices
时间  Datetime
2019-06-04 10:30 — 11:30 
地点  Venue
536
报告人  Speaker
Chen Huayi
单位  Affiliation
University Paris 7, Institut de Mathematiques de Jussieu.
邀请人  Host
Mounir HAJLI
报告摘要  Abstract

Minkowski’s successive minima are classic invariants of Euclidean lattices. On the seventies of last century, based on the comparison between the geometry of numbers and the theory of vector bundles on curves, Stuhler has considered the slopes of Euclidean lattices. The slope theory of Euclidean lattices and of Hermitian vector bundles has then been developed by Grayson and Bost. The purpose of this talk is to review the construction of these invariants and discuss their comparison.