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 π\pi of a group GG behaves when restricted to subgroups GGG'\subset G. The decomposition of the tensor product of two irreducible representations (fusion rule) is a special case of this problem, where (G,G)(G,G') is of the form (G1×G1,Δ(G1))(G_1 \times G_1,\Delta(G_1)). In the general setting where (G,G)(G,G') is a pair of reductive groups and π\pi is an infinite dimensional representation of GG, 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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