Symmetry Breaking Operators in Conformal Geometry and Some Applications. Sophus Lie Seminar. Göttingen, Germany, 30 June-1 July 2017.

I plan to discuss a general idea on the for the restriction of infinite-dimensional representations of reductive groups, and then explain the classification problem of confomally covariant symmetry breaking operators on differential forms. If time permits, I also explain some few applications.

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, Lecture Notes in Math. vol. 2170, 2016.
T. Kobayashi and B. Speh. Symmetry Breaking for Representations of Rank One Orthogonal Groups, Memoirs of Amer. Math. Soc. vol. 238. 2015.

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