20 июн. 2010 г. · I am curious as to where I might find a coherent treatment of the theory of motives; one which is below the level of a professional mathematician.

12 янв. 2024 г. · It has been almost 60 years since Grothendieck conceived the conjectural theory of motives in order to grasp the common behavior of the most important (Weil) ...

23 июл. 2018 г. · A reference for learning motives is Lectures on the Theory of Pure Motives by Murre, Nagel, Peters. It does not address homotopy theory however.

23 окт. 2009 г. · Hence a significant part of the Yoga is becoming actual mathematics nowdays, via the homotopy theory of schemes. Share.

6 мая 2019 г. · The theory of motives is an attempt to cope with the fact that there are many reasonable cohomology theories of algebraic varieties. Now, ...

15 мая 2010 г. · The common point of the two meanings is movement: motive is what moves someone to act, and a freeze motif is running around the edges of a plate ...

Ask Question for questions about motives in algebraic geometry, including constructions of categories of motives and motivic sheaves, and aspects of the ...

12 янв. 2022 г. · Maybe a better thing to say is that a motive should be a geometric recipe which produces a realization in any existing or future cohomology ...

5 нояб. 2014 г. · The (partially conjectural) motivic philosophy says we should functorially associate to each variety X a motive, which is an object in some Abelian category ...

11 авг. 2017 г. · A great general reference for motives is the AMS Proceedings of Symposia in Pure Mathematics Vol. 55.1: Motives. See here for the AMS ebook ...