Intertwining operators and geometry

On sporadic symmetry breaking operators of the pair (SO0(4,1), SO0(3,1))

21 janv. 2025, 15:15

40m

Amphithéâtre Hermite (Institut Henri Poincaré)

Orateur

Víctor Pérez-Valdés (Ryukoku University)

Description

In this talk, we construct and classify all differential symmetry breaking operators between certain principal series representations of the groups $S{O}_0(4,1)$ and $S{O}_0(3,1)$. Moreover, we prove that for these representations, we obtain a localness theorem, namely, we have that any symmetry breaking operator is given by a differential (local) symmetry breaking operator.