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Seminars

Algebraic Geometry Seminar

On equivariant K-theory, affine Grassmannian and perfection

2025/05/07 (Wed.) 15:00~17:00
  • Date : 2025/05/07 (Wed.) 15:00~17:00
  • Location : Seminar Room 638, Institute of Mathematics (NTU Campus)
  • Speaker : Jakub Löwit (IST Austria)
  • Organizer : Ionut Ciocan-Fontanine and Adeel Khan and Y.P. Lee (AS)
  • Abstract : Let G be an algebraic group acting on a scheme X. Then its equivariant algebraic K-theory maps into global invariant functions on a certain associated fixed-point scheme, which is of independent interest in geometric representation theory. After recalling this comparison and its relationship to equivariant Hochschild homology, I will explain what simplifies in characteristic p after perfection. The resulting map is an equivalence in interesting cases, such as torus-equivariant algebraic K-theory of split toric varieties or affine Schubert varieties in the perfect GL_n-affine Grassmannian.
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