# Workshop on Branching Problems and Symmetry Breaking

operator algebras representation theory

Audience: | Researchers in the topic |

Conference dates: | 10-Jun-2021 to 11-Jun-2021 |

Organizer: | Michael Pevzner |

Curator: | Pierre Clare* |

*contact for this listing |

In Representation Theory, branching problems ask how a given irreducible representation $\pi$ of a group $G$ behaves when restricted to subgroups $G'\subset G$. The decomposition of the tensor product of two irreducible representations (fusion rule) is a special case of this problem, where $(G,G')$ is of the form $(G_1 \times G_1,\Delta(G_1))$. In the general setting where $(G,G')$ is a pair of reductive groups and $\pi$ is an infinite dimensional representation of $G$, branching problems include various important situations such as theta correspondence and the Gross-Prasad-Gan conjecture, and branching laws may involve "wild behaviors" such as infinite multiplicities and continuous spectrum.

This workshop is devoted to recent progress in this area, with a particular emphasis on new analytical methods.

Your time | Speaker | Title | |||
---|---|---|---|---|---|

Fri | Jun 11 | 14:00 | Genkai Zhang | Induced representations of Hermitian Lie groups from Heisenberg parabolic subgroups | |

Fri | Jun 11 | 12:45 | Clemens Weiske | Analytic continuation of unitary branching laws for real reductive groups | |

Fri | Jun 11 | 12:00 | Kazuki Kannaka | The multiplicities of stable eigenvalues on compact anti-de Sitter $3$-manifolds | |

Thu | Jun 10 | 14:45 | Ethan Shelburne | Toward a holographic transform for the quantum Clebsch-Gordan Formula | |

Thu | Jun 10 | 14:00 | Quentin Labriet | Symmetry breaking operators and orthogonal polynomials | |

Thu | Jun 10 | 12:45 | Ryosuke Nakahama | Computation of weighted Bergman inner products on bounded symmetric domains for $SU(r,r)$ and restriction to subgroups | |

Thu | Jun 10 | 12:00 | Toshihisa Kubo | Differential symmetry breaking operators for $(O(n+1,1), O(n,1))$ on differential forms |