Branching problems for unitary representations

July 25 to July 29, 2011

at the

American Institute of Mathematics, Palo Alto, California

organized by

Toshiyuki Kobayashi, Bent Orsted, and Birgit Speh

Original Announcement

This workshop will focus on branching laws for the restriction of a unitary representation to a subgroup.

The central problem of the workshop will be to find explicit branching laws. If the representations are discretely decomposable, then the explicit branching laws are often of a combinatorial nature. Here techniques from algebraic combinatorics will be extremely important and many interesting combinatorial problems should arise.

Another goal is elucidate the connection between the real and the p-adic situation. and to analyze how different methods in the real and p-adic case might lead to (conjecturally) similar phenomena. This pertains in particular to the branching laws with discrete spectrum.

Material from the workshop

A list of participants.

The workshop schedule.

A report on the workshop activities.

Papers arising from the workshop:
Discrete branching laws for minimal holomorphic representations
Duflo's conjecture for the branching to the Iwasawa AN-subgroup
The continuous spectrum in discrete series branching laws
Discrete components in restriction of unitary representations of rank one semisimple Lie groups