Summer School 2022 -  Cohomology, Geometry and Explicit number theory (COGENT)

Collection Summer School 2022 - Cohomology, Geometry and Explicit number theory (COGENT)

Organizer(s) Institut Fourier, CNRS, UGA
Date(s) 13/06/2022 - 30/06/2022
linked URL https://if-summer2022.sciencesconf.org/
00:00:00 / 00:00:00
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The Steinberg representation is a topologically-defined representation of groups like GL_n(k) that plays a fundamental role in the cohomology of arithmetic groups. The main theorem I will discuss says that for infinite fields k, the Steinberg representation is irreducible. For finite fields, this is a classical theorem of Steinberg. No background in representation theory will be assumed. This is joint work with Andrew Snowden.

Information about the video

  • Date of recording 30/06/2022
  • Date of publication 03/12/2025
  • Institution Institut Fourier
  • Licence CC BY NC ND
  • Language English
  • Format MP4

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