1 citations · 1 across the 5 of their papers we have counts for
5 papers
Tilting equivalence of finite almost derived algebraic cobordism for perfectoid algebras
Yuki Kato
In this paper, we prove tilting equivalence for the finite almost derived algebraic cobordism spectrum of perfectoid algebras. More precisely, if is…
Nilpotent approximation and completion of -algebra objects of stable symmetric monoidal model categories
Yuki Kato
We develop a nilpotent approximation theory for Smith ideals, extending adic completion for commutative rings to monoid objects in locally presentable symmetric monoidal abelian ca…
Motivic classifying -topoi and spectral stacks
Yuki Kato
In this paper, we develop motivic derived algebraic geometry, an enhancement of derived algebraic geometry adapted to the -homotopy theory of Morel and Voevodsky. We…
Almost mathematics of pointed symmetric monoidal model categories by Smith ideal theory
Yuki Kato
This article is a generalization of a result in Quillen's note ``Module theory over non-unital rings'' giving a one-to-one correspondence between bilocalization of abelian categori…
Algebraic cobordism via spans
Yuki Kato
We define the algebraic cobordism of -categories equipped with universal line bundle data as an initial oriented functor in the associated span category. In the standard mo…