1,247 research outputs found
A categorification of cyclotomic rings
For any natural number , we construct a triangulated monoidal
category whose Grothendieck ring is isomorphic to the ring of cyclotomic
integers .Comment: 28 pages. Comments welcome! v2, v3: minor correction
A motivic version of the theorem of Fontaine and Wintenberger
We prove the equivalence between the categories of motives of rigid analytic
varieties over a perfectoid field of mixed characteristic and over the
associated (tilted) perfectoid field of equal characteristic. This
can be considered as a motivic generalization of a theorem of Fontaine and
Wintenberger, claiming that the Galois groups of and are
isomorphic. A main tool for constructing the equivalence is Scholze's theory of
perfectoid spaces.Comment: Stable version added. Accepted for publication. 46 page
- …