V. Sosnilo

activity

20242026

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math.AG2025

On filtered algebraic $K$ -theory of stacks I: characteristic zero

Elden Elmanto, Dmitry Kubrak, Vladimir Sosnilo

Given a compact Lie group $G$ acting on a space $X$ , the classical Atiyah-Segal completion theorem identifies topological $K$ -theory of the homotopy quotient $X / G$ with an explicit…

math.AG2024

Zariski-local framed $A^{1}$ -homotopy theory

Andrei Druzhinin, Vladimir Sosnilo

For any (not necessarily perfect) field $k$ we obtain equivalences of $\infty$ -categories \[\mathbf{H}^{\mathrm{fr},\mathrm{gp}}(k)\simeq \mathbf{H}^{\mathrm{fr},\mathrm{gp}}_{\mat…

On filtered algebraic K-theory of stacks I: characteristic zero

Zariski-local framed A1-homotopy theory

On filtered algebraic $K$ -theory of stacks I: characteristic zero

Zariski-local framed $A^{1}$ -homotopy theory