Conformally Covariant Symmetry Breaking Operators on Differential Forms and Some Applications. Conference on Geometry, Representation Theory and the Baum-Connes Conjecture. The Fields Institute, Toronto, Ontario, Canada, 18-22 July 2016.

We discuss restrictions of irreducible representations to reductive subgroups with focus on the following questions for orthogonal groups of rank one:

1. Classification of confomally covariant symmetry breaking operators on differential forms.

2. Period of irreducible unitary representations.

3. Occurrence of complementary series representations in branching laws.

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© Toshiyuki Kobayashi