Title page for ETD etd-06212013-132011


Type of Document Dissertation
Author Rider, Laura Joy
Author's Email Address lrider1@math.lsu.edu
URN etd-06212013-132011
Title Mixed Categories, Formality for the Nilpotent Cone, and a Derived Springer Correspondence
Degree Doctor of Philosophy (Ph.D.)
Department Mathematics
Advisory Committee
Advisor Name Title
Achar, Pramod N Committee Chair
Adkins, William A Committee Member
Dani, Pallavi Committee Member
Rubin, Boris Committee Member
Sage, Daniel S Committee Member
Gaarde, Mette B Dean's Representative
Keywords
  • formality
  • perverse sheaves
  • nilpotent cone
Date of Defense 2013-04-30
Availability unrestricted
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 erential graded modules over a dg-ring related to the Weyl group

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