Roman Travkin

activity

20242026

collaborators

7 papers

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.AG2026

Mirabolic affine Grassmannian and character sheaves

Michael Finkelberg, Victor Ginzburg, Roman Travkin

We compute the Frobenius trace functions of mirabolic character sheaves defined over a finite field. The answer is given in terms of the character values of general linear groups o…

math.RT2026

Relative Langlands duality for $osp (2 n + 1∣2 n)$

Alexander Braverman, Michael Finkelberg, David Kazhdan +1

We establish an $S$ -duality converse to the one studied by the 1st, 2nd and 4th authors; this is also a case of a twisted version of the relative Langlands duality of Ben Zvi, Sake…

math.AG2025

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.AG2025

Lagrangian subvarieties of hyperspherical varieties

Michael Finkelberg, Victor Ginzburg, Roman Travkin

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

math.RT2025

Gaiotto conjecture for $R e p_{q} (G L (N - 1∣ N))$