Artem Prikhodko
Artem Prikhodko
I am a postdoc at Skoltech's Center for Advanced Studies. So far my research was mostly concerned with derived and arithmetic algebraic geometry and higher category theory.
My CV.
artem (dot) n (dot) prihodko (at) gmail.com
Papers and preprints
| Paper | Last update |
|---|---|
| p-adic Hodge theory for Artin stacks, with Dmitry Kubrak. | 2021, May |
| We extend p-adic Hodge theory to the setting of smooth Artin stacks. As the main application we establish some connections between mod p cohomology of classifying spaces and modular representation theory. In particular, we prove Totaro's conjectural inequality. | |
| Hodge-to-de Rham degeneration for stacks, with Dmitry Kubrak.
(Accepted to International Mathematics Research Notices) | 2021, April |
| We extend the method of Deligne-Illusie to the setting of stacks. As an application we deduce equivariant Hodge degeneration for certain classes of varieties with an algebraic group action. | |
| Equivariant Grothendieck-Riemann-Roch theorem via formal deformation theory, with Grigory Kondyrev. | 2019, June |
| We prove the equivariant Grothendieck-Riemann-Roch theorem using trace methods and carefully studing the geometry of the derived loop schemes. | |
| Categorical proof of Holomorphic Atiyah-Bott formula, with Grigory Kondyrev. (Journal of the Institute of Mathematics of Jussieu, 2020). | 2018, November |
| We use functoriality of traces in monoidal 2-categories to prove the Atiyah-Bott fixed point formula. |
Seminars
| Fall 2019-Spring 2020 | Introduction to automorphic forms and Galois representations |
| Fall 2018-Spring 2019 | Chromatic Homotopy Theory |
| Fall 2017-Spring 2018 | p-adic Hodge Theory and Topological Hochschild Homology |
| Spring 2017 | Topics in Derived Algebraic Geometry |
| Fall 2016 | Equivariant Homotopy and Kervaire Invariant One Problem |