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Quaternion hermitian lattices and supersingular abelian varieties I, II.
发布时间:2018-04-27     点击次数:
报告题目: Quaternion hermitian lattices and supersingular abelian varieties I, II.
报 告 人: 伊吹山知義 教授 (大阪大学)
报告时间: 2018年05月09日 15:45--16:45
报告地点: 理学院东北楼四楼报告厅(404)
报告摘要:

 We would like to give a kind of brief survey on the theory of supersingular abelian varieties and arithmetic theory of quaterion hermitian lattices, emphasizing the latter. Two theories are very closely related.

Many of important invariants of supersingular abelian varieties are expressed by arithmetic invariants of lattices.We roughly sketch without proof what are known for the arithmetic theory of lattices,including class number formula, type number formula and automorphisms.
We also give their counter part for invariants of supersingular or superspecial abelian varieties or rational points of curves over finite fields related with coding theory and explain how these two kinds of objects match together.
 
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