The geometry of some generalized affine Springer fibers

23 May 2018 Chi Jingren

We study basic geometric properties of some group analogue of affine Springer fibers and compare with the classical Lie algebra affine Springer fibers. The main purpose is to formulate a conjecture that relates the number of irreducible components of such varieties for a reductive group $G$ to certain weight multiplicities defined by the Langlands dual group $\hat{G}$... (read more)

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Categories


  • ALGEBRAIC GEOMETRY
  • NUMBER THEORY
  • REPRESENTATION THEORY