Mixed categories, formality for the nilpotent cone, and a derived Springer correspondence

Identifier

etd-06212013-132011

Author

Laura Joy Rider, Louisiana State University and Agricultural and Mechanical CollegeFollow

Degree

Doctor of Philosophy (PhD)

Department

Mathematics

Document Type

Dissertation

Abstract

Recall that the Springer correspondence relates representations of the Weyl group to perverse sheaves on the nilpotent cone. We explain how to extend this to an equivalence between the triangulated category generated by the Springer perverse sheaf and the derived category of di_x000B_erential graded modules over a dg-ring related to the Weyl group

Date

2013

Document Availability at the Time of Submission

Release the entire work immediately for access worldwide.

Recommended Citation

Rider, Laura Joy, "Mixed categories, formality for the nilpotent cone, and a derived Springer correspondence" (2013). LSU Doctoral Dissertations. 2732.
https://repository.lsu.edu/gradschool_dissertations/2732

Committee Chair

Achar, Pramod N

DOI

10.31390/gradschool_dissertations.2732