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math.AG2022★ 1 cited
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…
math.RT2022
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…