Identifier
etd-07022016-000813
Degree
Doctor of Philosophy (PhD)
Department
Mathematics
Document Type
Dissertation
Abstract
It is known that the geometric Satake equivalence is intimately related to the Springer correspondence when restricting to small representations of the Langlands dual group (see a paper by Achar and Henderson and one by Achar, Henderson, and Riche). This dissertation relates the derived geometric Satake equivalence of Bezrukavnikov and Finkelberg and the derived Springer correspondence of Rider when we restrict to small representations of the Langlands dual group under consideration. The main theorem of the before-mentioned paper of Achar, Henderson, and Riche sits inside this derived relationship as its degree zero piece.
Date
2016
Document Availability at the Time of Submission
Release the entire work immediately for access worldwide.
Recommended Citation
Matherne, Jacob Paul, "Derived Geometric Satake Equivalence, Springer Correspondence, and Small Representations" (2016). LSU Doctoral Dissertations. 668.
https://repository.lsu.edu/gradschool_dissertations/668
Committee Chair
Achar, Pramod N.
DOI
10.31390/gradschool_dissertations.668