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.

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