Conformally Covariant Symmetry Breaking Operators on Differential Forms and Some Applications. AMS Special Session on Harmonic Analysis (In Honor of Gestur Olafsson's 65th Birthday). Atlanta, USA, 4 January 2017.

We discuss restrictions of irreducible representations to reductive subgroups with focus on geometric question:
  1. Classification of confomally covariant symmetry breaking operators on differential forms.
If time permits, we shall also discuss the following related questions for orthogonal groups of rank one.
  1. Period of irreducible unitary representations.
  2. Occurrence of complementary series representations in branching laws.


[ abstract (pdf) ]

Home EnHome Jp

© Toshiyuki Kobayashi