2 citations · 2 across the 8 of their papers we have counts for
8 papers
Representability of continuous K-theory in rigid analytic motivic -homotopy theory
Christian Dahlhausen, Can Yaylali, Yicheng Zhou
We prove that both continuous K-theory and analytic K-theory of rigid analytic spaces (à la Kerz--Saito--Tamme) satisfiy descent with respect to the Nisnevich topology. Together wi…
Truncations and the Motive of the Stack of Local -Shtukas
Can Yaylali
We compute the rational motive of the stack of local -shtukas, for a split reductive group , representing compactly supported cohomology in terms of the motive of the stack o…
Towards -homotopy theory of rigid analytic spaces
Christian Dahlhausen, Can Yaylali
To any rigid analytic space (in the sense of Fujiwara--Kato) we assign an -invariant rigid analytic homotopy category with coefficients in any presentable category. W…
Rational motives on pro-algebraic stacks
Can Yaylali
We define an -category of rational motives for inverse limits of algebraic stacks, so-called pro-algebraic stacks. We show that it admits a -functor formalism for certai…
Motivic homotopy theory of the classifying stack of finite groups of Lie type
Can Yaylali
Let be a reductive group over with associated finite group of Lie type . Let be a maximal torus contained inside a Borel of . We relate the (…
-equivariant motives of flag varieties
Can Yaylali
We use the construction of the stable homotopy category by Khan-Ravi to calculate the integral -equivariant -theory spectrum of a flag variety over an affine scheme, where $T…
Notes on derived algebraic geometry
Can Yaylali
These are notes on derived algebraic geometry in the context of animated rings. More precisely, we recall the proof of Toën-Vaquié that the derived stack of perfect complexes is lo…
Derived -zips
Can Yaylali
We define derived versions of -zips and associate a derived -zip to any proper, smooth morphism of schemes in positive characteristic. We analyze the stack of derived -zip…