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東工大 数論・幾何学セミナー: Simon Pepin Lehalleur 氏

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日程
2018年9月14日(金)
時間
15:30~17:00
場所
本館2階H220セミナー室 
講師
Simon Pepin Lehalleur 氏(Freie Universität Berlin)
講演タイトル
Relative étale 1-motives
アブストラクト

 Thanks to works of Morel-Voevodsky, Ayoub and Cisinski-Déglise, we have a beautiful theory of triangulated categories of étale motives on general base schemes. While the structure of these categories is still very mysterious in general, and linked to deep conjectures on algebraic cycles and algebraic K-theory, the subcategories generated by motives of relative curves, known as étale 1-motives, are more accessible. I will describe what is known about étale 1-motives, how they provide some information about more general motives, and, time permitting, explain current joint work with Johann Haas on how to understand part of the theory of Néron models of abelian varieties 1-motivically.

更新日:2018.07.11

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