A. Ionov

activity

20152026

most citedTilting sheaves for real groups and Koszul duality

1 citations · 2 across the 9 of their papers we have counts for

collaborators

11 papers

math.RT2026

The Unitarity of Arthur Packets for Real Reductive Groups

Jeffrey Adams, Andrei Ionov, Lucas Mason-Brown +1

Let $G$ be a connected reductive algebraic group defined over $R$ . In the 1980s, Arthur conjectured the existence of certain packets of irreducible admissible representati…

math.AG2023★ 1 cited

Hodge diamonds of the Landau--Ginzburg orbifolds

Alexey Basalaev, Andrei Ionov

Consider the pairs $(f, G)$ with $f = f (x_{1}, \dots, x_{N})$ being a polynomial defining a quasihomogeneous singularity and $G$ being a subgroup of $SL (N, C)$ , preserving $…

math.RT2023

Equivariant derived category of a reductive group as a categorical center

Roman Bezrukavnikov, Andrei Ionov, Kostiantyn Tolmachov +1

We prove that the adjoint equivariant derived category of a reductive group $G$ is equivalent to the appropriately defined monoidal center of the torus-equivariant version of the H…

math.AG2023★ 1 cited

Tilting sheaves for real groups and Koszul duality

Andrei Ionov, Zhiwei Yun

For a certain class of real analytic varieties with Lie group actions we develop a theory of (free-monodromic) tilting sheaves, and apply it to flag varieties stratified by real gr…

math.AG2022

McKay correspondence and orbifold equivalence

Andrei Ionov

We prove that a pair of singularities related by a transformation arising from the McKay correspondence are orbifold equivalent. From this we deduce a new proof of a McKay type equ…

math.AG2020

Hochschild cohomology of Fermat type polynomials with non-abelian symmetries

Alexey Basalaev, Andrei Ionov

For a polynomial $f = x_{1}^{n} + \dots + x_{N}^{n}$ let $G_{f}$ be the non--abelian maximal group of symmetries of $f$ . This is a group generated by all $g \in GL (N, C)$ , r…

math.RT2020

Filtrations on block subalgebras of reduced universal enveloping algebras

Andrei Ionov, Dylan Pentland

We study the interaction between the block decompositions of reduced universal enveloping algebras in positive characteristic, the PBW filtration, and the nilpotent cone. We provid…

math.AG2016

Primitive forms for Gepner singularities

Andrei Ionov

We provide a construction of Saito primitive forms for Gepner singularity by studying the relation between Saito primitive forms for Gepner singularities and primitive forms for si…

math.AG2016

Kostka-Shoji polynomials and Lusztig's convolution diagram

Michael Finkelberg, Andrei Ionov

We propose an $r$ -variable version of Kostka-Shoji polynomials $K_{λ μ}^{-}$ for $r$ -multipartitions $λ, μ$ . Our version has positive integral coefficients and encodes the graded multi…

math.AG2015

Intersection cohomology of the Uhlenbeck compactification of the Calogero-Moser space

Michael Finkelberg, Victor Ginzburg, Andrei Ionov +1

We study the natural Gieseker and Uhlenbeck compactifications of the rational Calogero-Moser phase space. The Gieseker compactification is smooth and provides a small resolution of…

math.AT2015

Supersymmetric Semisimple Cardy-Frobenius Algebras

A. Ionov

Cardy-Frobenius algebra is the algebraic structure on the space of states in open-closed topological field theory. We prove that every semisimple super Cardy-Frobenius algebras is…