The geometry of some generalized affine Springer fibers
arXiv:1710.11243
Abstract
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 to certain weight multiplicities defined by the Langlands dual group . We prove our conjecture in the case of unramified conjugacy class.
This article has been superseded by arXiv: 1805.08770, where it is expanded, completely rewritten and results are strengthened (the assumption about simply connected derived group has been removed). The current version is kept here to maintain reference