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Workshop on Unitary Representations of Real Reductive Groups
July 1-5, 2013

Recently a combination of algebraic, geometric, and computational techniques have led to significant advances in the study of unitary representations of reductive Lie groups. The workshop will be devoted to explaining recent progress in lecture series aimed especially at graduate students and postdocs with only a modest background (such as the representation theory of compact Lie groups).
Topics include:

  • Background on the Langlands classification for real reductive groups.
  • Kazhdan-Lusztig-Vogan theory and the new theory of Lusztig-Vogan polynomials.
  • Algorithms to compute the unitary dual of a real reductive group.
  • Open problems.

The algorithms mentioned above have been implemented computer software written by Fokko du Cloux and Marc van Leeuwen aimed at supporting research in the field and at helping those who want to learn the subject. The workshop will include sessions on how to use the software, with a view toward attacking open problems.

The workshop will be followed by the Conference on Representation Theory of Reductive Groups placing the topics of the workshop in a broader context.

All participants are required to register here.