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).
- 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.