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Seminars

Algebraic Geometry Seminar

Cuspidal character sheaves on graded Lie algebras

2024/10/16 (Wed.) 15:15~16:45
  • Date : 2024/10/16 (Wed.) 15:15~16:45
  • Location : Seminar Room 638, Institute of Mathematics (NTU Campus)
  • Speaker : Wille Liu (AS)
  • Organizer : Ionut Ciocan-Fontanine and Adeel Khan and Y.P. Lee (AS)
  • Abstract : I will explain my latest joint work with Tsai, Vilonen and Xue (arXiv:2409.04030) about the nearby-cycle construction of cuspidal character sheaves on graded Lie algebras. These objects are closely related to finite-dimensional representations of double affine Hecke algebras and expected to play a role in the harmonic analysis on symmetric spaces and p-adic groups. I will start by explaining the more classical theory of sheaves on reductive Lie algebra and its Z-graded version. I will then highlight the new phenomena which occur when finite-order gradings on Lie algebras come into play.
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