Deligne categories and representation stability in positive characteristic
Name
1015202083-MIT.pdf
Size
6.65 MB
Format
Adobe PDF
Checksum (MD5)
43ed626bef535d4ce210ecf1b65df48a
Author(s)
Harman, Nate(Nate Reid)
Advisor(s)
Pavel Etingof.
Date Issued
2017
Publisher
Massachusetts Institute of Technology
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).
Subjects
Mathematics.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
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