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math.RT2021★ 1 cited
Almost commuting varieties for symplectic Lie algebras
Ivan Losev
In this note we introduce and study the almost commuting varieties for the symplectic Lie algebras.
math.RT2021★ 2 cited
Affine Springer Fibers, Procesi bundles, and Cherednik algebras
Pablo Boixeda Alvarez, Ivan Losev
Let be a semisimple Lie algebra, its Cartan subalgebra and the Weyl group. The goal of this paper is to prove an isomorphism between suitable comp…
math.RT2021
Localization theorems for quantized symplectic resolutions
Ivan Losev
The goal of this paper is to establish Beilinson-Bernstein type localization theorems for quantizations of some conical symplectic resolutions. We prove the full localization theor…
math.RT2021
Categorical braid group actions and cactus groups
Iva Halacheva, Anthony Licata, Ivan Losev +1
Let be a semisimple simply-laced Lie algebra of finite type. Let be an abelian categorical representation of the quantum group cate…