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The McKay conjecture and Galois action on characters

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

April 12, 2018 (02:00 PM PDT - 03:00 PM PDT)
Speaker(s): Carolina Vallejo (Autonomous University of Madrid)
Location: MSRI: Simons Auditorium
Tags/Keywords
  • McKay Conjecture

  • Galois McKay conjecture

  • reduction theorem

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification
Video

13-Vallejo

Abstract

The McKay conjecture was refined in 2004 by G. Navarro 
taking into account the action of Galois automorphisms on characters. 
This refinement is known as the Galois McKay conjecture, and it is one 
of the last counting conjectures without a reduction theorem. In this 
talk I will present a possible reduction theorem for the Galois McKay 
conjecture to a question on finite simple groups. This is joint work 
with G. Navarro and B. Späth.


 

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13-Vallejo

H.264 Video 13-Vallejo.mp4 408 MB video/mp4 Download
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