Workshop on Branching Problems and Symmetry Breaking
operator algebras representation theory
|Audience:||Researchers in the topic|
|Conference dates:||Thu Jun 10 to Fri Jun 11|
|*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.
|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|