## *Conformally covariant symmetry breaking operators on differential forms and some applications* (Plenary lecture).
the XXXV Workshop on Geometric Methods in Physics. Bialowieza,
Poland, 2-8 July 2017.

We discuss restrictions of irreducible representations to reductive subgroups with focus on geometric question:
- 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.
- General background for restriction of infinite-dimensional
representations of reductive groups.
- Period of irreducible unitary representations.

References:
- T. Kobayashi. A program for branching problems in the
representation theory of real reductive groups. Progr. Math. vol. 312,
pp. 277-322, 2015.
- T. Kobayashi, T. Kubo, and M. Pevzner, Conformal symmetry
breaking operators for differential forms on spheres, viii+192 pages.
Lecture Notes in Mathematics, vol. 2170, 2016.
- T. Kobayashi and B. Speh. Symmetry Breaking for Representations
of Rank One Orthogonal Groups, Memoirs of Amer. Math. Soc. 238. 2015.
118 pages.

[ poster ]

© Toshiyuki Kobayashi