A. Prikhodko

activity

20162026

most citedCategorical proof of Holomorphic Atiyah-Bott formula

3 citations · 5 across the 5 of their papers we have counts for

collaborators

6 papers

math.AT2026

Local coefficients for genuine equivariant cohomology I

Nikolai Konovalov, Artem Prikhodko

We develop a theory of equivariant local systems which categorifies genuine equivariant cohomology theories -- such as Atiyah--Segal $K$ -theory, Lurie's tempered cohomology, and th…

math.AG2022

Rational $p$ -adic Hodge theory for $d$ -de Rham-proper stacks

Haoyang Guo, Dmitry Kubrak, Artem Prikhodko

In this follow-up paper we show that smooth Hodge-proper stacks over $O_{K}$ are $Q_{p}$ -locally acyclic: namely the natural map between étale $Q_{p}$ -cohomology…

math.AG2021★ 1 cited

$p$ -adic Hodge theory for Artin stacks

Dmitry Kubrak, Artem Prikhodko

This work is devoted to the study of integral $p$ -adic Hodge theory in the context of Artin stacks. For a Hodge-proper stack, using the formalism of prismatic cohomology, we establ…

math.AG2019

Hodge-to-de Rham degeneration for stacks

Dmitry Kubrak, Artem Prikhodko

We introduce a notion of a Hodge-proper stack and extend the method of Deligne-Illusie to prove the Hodge-to-de Rham degeneration in this setting. In order to reduce the statement…

math.AG2019★ 1 cited

Equivariant Grothendieck-Riemann-Roch theorem via formal deformation theory

Grigory Kondyrev, Artem Prikhodko

We use the formalism of traces in higher categories to prove a common generalization of the holomorphic Atiyah-Bott fixed point formula and the Grothendieck-Riemann-Roch theorem. T…

math.AG2016★ 3 cited

Categorical proof of Holomorphic Atiyah-Bott formula