Zhiwei Yun
Published 2016-02-03Version 1
These are the expanded lecture notes from the author's mini-course during the graduate summer school of the Park City Math Institute in 2015. The main topics covered are: geometry of Springer fibers, affine Springer fibers and Hitchin fibers; representations of (affine) Weyl groups arising from these objects; relation between affine Springer fibers and orbital integrals.
Comments: 62 pages; to appear in the PCMI proceedings
Level-Rank Dualities from $Φ$-Harish-Chandra Series and Affine Springer Fibers
Inductive structure of Shalika germs and affine Springer fibers
Affine Springer Fibers, Procesi bundles, and Cherednik algebras
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