Perverse sheaves on infinite-dimensional stacks, and affine Springer theory

11 Oct 2020 Bouthier Alexis Kazhdan David Varshavsky Yakov

The goal of this work is to construct a perverse t-structure on the infinity-category of l-adic LG-equivariant sheaves on the loop Lie algebra Lg and to show that the affine Grothendieck-Springer sheaf S is perverse. Moreover, S is an intermediate extension of its restriction to the locus of "compact" elements with regular semi-simple reduction... (read more)

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Categories


  • ALGEBRAIC GEOMETRY
  • NUMBER THEORY
  • REPRESENTATION THEORY