Deligne categories and representation stability in positive characteristic

Author(s)
Harman, Nate(Nate Reid)
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Massachusetts Institute of Technology. Department of Mathematics.
Advisor
Pavel Etingof.
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Abstract
We study the asymptotic behavior of the representation theory of symmetric groups Sn, in positive characteristic as n grows to [infinity], with the goal of understanding and generalizing the Deligne categories Rep(St) as well as the theory of FI-modules and representation stability in the positive characteristic setting. We also give qanalogs of some of our results in the context of unipotent representations of finite general linear groups in non-defining characteristic.
Description
Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 2017
 
Cataloged from PDF version of thesis.
 
Includes bibliographical references (pages 121-125).
 
Date issued
2017
URI
http://hdl.handle.net/1721.1/112905
Department
Massachusetts Institute of Technology. Department of Mathematics
Publisher
Massachusetts Institute of Technology
Keywords
Mathematics.
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