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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…
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…
Fixed points and components of equivalued affine Springer fibers
Pablo Boixeda Alvarez
For G a semisimple algebraic group, we revisit the description of the components of the affne Springer fiber given by ts, with s a regular semisimple element. We then compute the f…