Can Yaylali

collaborators

4 papers

math.KT2026

Representability of continuous K-theory in rigid analytic motivic $A^{1}$ -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…

math.AG2025

Truncations and the Motive of the Stack of Local $G$ -Shtukas

Can Yaylali

We compute the rational motive of the stack of local $G$ -shtukas, for a split reductive group $G$ , representing compactly supported cohomology in terms of the motive of the stack o…

math.AG2025

Rational motives on pro-algebraic stacks

Can Yaylali

We define an $\infty$ -category of rational motives for inverse limits of algebraic stacks, so-called pro-algebraic stacks. We show that it admits a $6$ -functor formalism for certai…

math.AT2025

Towards $A^{1}$ -homotopy theory of rigid analytic spaces

Christian Dahlhausen, Can Yaylali

To any rigid analytic space (in the sense of Fujiwara--Kato) we assign an $A^{1}$ -invariant rigid analytic homotopy category with coefficients in any presentable category. W…

Representability of continuous K-theory in rigid analytic motivic A1-homotopy theory

Truncations and the Motive of the Stack of Local G-Shtukas

Rational motives on pro-algebraic stacks

Towards A1-homotopy theory of rigid analytic spaces

Representability of continuous K-theory in rigid analytic motivic $A^{1}$ -homotopy theory

Truncations and the Motive of the Stack of Local $G$ -Shtukas

Towards $A^{1}$ -homotopy theory of rigid analytic spaces