談話会・数理科学講演会

過去の記録 ~12/08次回の予定今後の予定 12/09~

担当者 加藤晃史、北山貴裕、辻雄(委員長)、三竹大寿
セミナーURL https://www.ms.u-tokyo.ac.jp/seminar/colloquium/index.html

2022年11月25日(金)

15:30-16:30   ハイブリッド開催
数理科学研究科所属以外の方は、オンラインでのご参加(参考URLから参加登録)をお願いいたします。
Shane Kelly 氏 (東京大学大学院数理科学研究科)
Motivic cohomology: theory and applications (ENGLISH)
[ 講演概要 ]
The motive of a smooth projective algebraic variety was originally envisaged by Grothendieck in the 60's as a generalisation of the Jacobian of a curve, and formed part of a strategy to prove the Weil conjectures. In the 90s, following conjectures of Beilinson on special values of L-functions, Voevodsky, together with Friedlander, Morel, Suslin, and others, generalised this to the A^1-homotopy type of a general algebraic variety. This A^1-homotopy theory lead to a proof of the Block-Kato conjecture (and a Fields Medal for Voevodsky).
One consequence of making things A^1-invariant is that unipotent groups (as well as wild ramification, irregular singularities, nilpotents including higher nilpotents in the sense of derived algebraic geometry, certain parts of K-theory, etc) become invisible and the last decade has seen a number of candidates for a non-A^1-invariant theory.
In this talk I will give an introduction to the classical theory and discuss some current and future research directions.
[ 参考URL ]
https://u-tokyo-ac-jp.zoom.us/meeting/register/tZErcumupjouGdXpOac2j3rcFFN545yAuoSb