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More counting for the counting conjectures

Representations of Finite and Algebraic Groups April 09, 2018 - April 13, 2018

April 13, 2018 (11:00 AM PDT - 12:00 PM PDT)
Speaker(s): Britta Späth (Bergische Universität-Gesamthochschule Wuppertal (BUGH))
Location: MSRI: Simons Auditorium
Tags/Keywords
  • McKay Conjecture

  • equivariant Jordan decomposition of characters

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification
Video

16-Spaeth

Abstract

The action of automorphisms on the irreducible characters of finite quasi-simple groups of Lie type is a well-known open problem. For symplectic groups this problem could be solved via a technical counting argument. We give a more structural explanation of this counting that applies to other types. Using this the inductive McKay condition can be verified for certain simple groups of Lie type. This is joint work with M. Cabanes.

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16-Spaeth

H.264 Video 16-Spaeth.mp4 450 MB video/mp4 Download
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