Notes on Motives in Finite Characteristic
By M. Kontsevich. 2007
116 citations recorded by the source corpus.
Motivic local systems over a curve in finite characteristic form a countable set endowed with an action of the absolute Galois group of rational numbers commuting with the Frobenius map. I will discuss three series of conjectures about such sets, based on an analogy with algebraic dynamics, on a formalism of commutative algebras of motivic integral operators, and on an analogy with 2-dimensional lattice models in statistical physics.
Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/fb535b84828719851797fd1088dcd7f2a18f5ba9
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In Discrete Mathematics and Combinatorics
In Geometry and Topology
- Y. Soibelman
- M. Kontsevich
- Gonçalo Tabuada
- M. Abouzaid
- Mark Gross
- T. Bridgeland
- D. Auroux
- Bernd S Siebert
In Mathematical Physics
- Y. Soibelman
- M. Kontsevich
- Gonçalo Tabuada
- M. Abouzaid
- Mark Gross
- T. Bridgeland
- D. Auroux
- Bernd S Siebert
Citations in the corpus
- Notes on A∞-Algebras, A∞-Categories and Non-Commutative Geometry (2008, result): “MA is minimal and there is a quasi-isomorphism MA → A (the proof is similar to the one from [ 29 , 36]).”
- Higher K-theory via universal invariants (2007, unknown): “Because of its universality property reminiscent of motives, cf. section 4:1 of [ 25 ], we callMlocdg the (stable) localizing motivator of dg categories.”
- A Guided Tour Through the Garden of Noncommutative Motives (2011, unknown): “Let X be an algebraic variety.”
- Chow motives versus non-commutative motives (2011, background): “This question was settled by Kontsevich in [35], §4.”