Branching Problems and Symmetry Breaking Operators. (plenary lecture). the 32nd International Colloquium on Group Theoretical Methods in Physics (Group32). Czech Technical University, Prague, Czech Republic, 9-13 July 2018.

I begin with general results on restricting representations of reductive groups to their subgroups.

Then I will focus on a concrete geometric question arising from conformal geometry, giving the complete classification of conformally covariant symmetry breaking operators for differential forms on the model space. Some of the symmetry breaking operators are differential operators and some others are obtained as the meromorphic continuation of integral operators.

If time permits, I would like to discuss some applications and related questions including a conjecture of Gross and Prasad.


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© Toshiyuki Kobayashi