2 citations · 4 across the 8 of their papers we have counts for
8 papers
Affine Springer fiber and the small quantum group
Roman Bezrukavnikov, Pablo Boixeda Alvarez, Michael McBreen +1
We find a new geometric incarnation for the principal block in the category of modules over a quantum group at a root of unity, realizing it as a full subcategory of microsheaves o…
Weight modules and gluing of sheaves on the flag variety
Pablo Boixeda Alvarez, Calder Morton-Ferguson
We study a natural enlargement of the BGG Category O for a semisimple Lie algebra: the category of weight modules with trivial central character and finite-dimensional weight space…
Non-abelian Hodge moduli spaces and homogeneous affine Springer fibers
Roman Bezrukavnikov, Pablo Boixeda Alvarez, Michael McBreen +1
Starting from a homogeneous affine Springer fiber , we construct three moduli spaces that correspond to the Dolbeault, de Rham and Betti aspects of a hypothetical Simpson cor…
A geometric realization of the center of the small quantum group
Roman Bezrukavnikov, Pablo Boixeda Alvarez, Peng Shan +1
We propose a new geometric model for the center of the small quantum group using the cohomology of certain affine Springer fibers. More precisely, we establish an isomorphism betwe…
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…
Affine Springer Fibers and the Affine Matrix Ball Construction for Rectangular Type Nilpotents
Pablo Boixeda Alvarez, Li Ying, Guangyi Yue
In this paper, we study the affine Springer fiber in type for rectangular type semisimple nil-element and calculate the relative position between irreduci…