Roman Travkin

activity

20162026

most citedModuli spaces, indecomposable objects and potentials over a finite field

9 citations · 12 across the 12 of their papers we have counts for

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6 papers · 1 filter

math.AG2026

Relative Langlands duality and Koszul duality

Alexander Braverman, Michael Finkelberg, Roman Travkin

Consider a pair of $S$ -dual hyperspherical varieties $G ↻ X$ and $G^{\lor} ↻ X^{\lor}$ equipped with equivariant quantizations $Q (X)$ , $Q (X^{\lor})$ . Assume…

math.AG2023★ 1 cited

Lagrangian subvarieties of hyperspherical varieties

Michael Finkelberg, Victor Ginzburg, Roman Travkin

Given a hyperspherical $G$ -variety $X$ we consider the zero moment level $Λ_{X} \subset X$ of the action of a Borel subgroup $B \subset G$ . We conjecture…

math.AG2022

The canonical global quantization of symplectic varieties in characteristic $p$

Ekaterina Bogdanova, Dmitry Kubrak, Roman Travkin +1

Let $X$ be a smooth symplectic variety over a field $k$ of characteristic $p > 2$ equipped with a restricted structure, which is a class $[η] \in H^{0} (X, Ω_{X}^{1} / d O_{X})$ whose d…

math.AG2022

Coulomb branches of noncotangent type (with appendices by Gurbir Dhillon and Theo Johnson-Freyd)

Alexander Braverman, Gurbir Dhillon, Michael Finkelberg +2

We propose a construction of the Coulomb branch of a $3 d N = 4$ gauge theory corresponding to a choice of a connected reductive group $G$ and a symplectic finite-dimensio…

math.AG2016★ 9 cited

Moduli spaces, indecomposable objects and potentials over a finite field

Galyna Dobrovolska, Victor Ginzburg, Roman Travkin

Given a linear category over a finite field such that the moduli space of its objects is a smooth Artin stack (and some additional conditions) we give formulas for an exponential s…

math.AG2016

Resolutions with conical slices and descent for the Brauer group classes of certain central reductions of differential operators in characteristic $p$

Dmitry Kubrak, Roman Travkin

For a smooth variety $X$ over an algebraically closed field of characteristic $p$ , to a differential 1-form $α$ on the Frobenius twist $X^{(1)}$ one can associate an Azumaya algebr…