## *Symmetry Breaking Operators in Conformal Geometry*.
XII. International Workshop ''Lie Theory and Its Applications
in Physics”. Varna, Bulgaria, 19-25 June 2017.

I plan to discuss a general program to understand the restriction of
infinite-dimensional representations of reductive groupsy
in three stages, and then illustrate it by an example arising from
conformal geometry. In particular, I present
a complete classification of conformally covariant symmetry breaking
operators on differential forms for a certain model
case. If time permits, I also give a flavor of some applications to
automorphic forms.
References:

T. Kobayashi. A program for branching problems in the representation
theory of real reductive groups. Progr. Math. vol. 312, pp. 277-322,
2015, Birkhauser.

T. Kobayashi, T. Kubo, and M. Pevzner, Conformal symmetry breaking
operators for differential forms on spheres, Lecture Notes in Math.
vol. 2170, 2016, Springer.

T. Kobayashi and B. Speh, Symmetry Breaking for Representations of
Rank One Orthogonal Groups, Memoirs of Amer. Math. Soc. vol. 238. 2015,
AMS.

© Toshiyuki Kobayashi