most citedLevi-Equivariant Restriction of Spherical Perverse Sheaves

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math.RT2023★ 1 cited

Levi-Equivariant Restriction of Spherical Perverse Sheaves

Mark Macerato

We study the equivariant cohomology of spherical perverse sheaves on the affine Grassmannian of a connected reductive group with support in the affine Grassmannian of any Levi…

math.RT2022

Quaternionic Satake equivalence

Tsao-Hsien Chen, Mark Macerato, David Nadler +1

We establish a derived geometric Satake equivalence for the quaternionic general linear group GL_n(H). By applying the real-symmetric correspondence for affine Grassmannians, we ob…