Branching problems for unitary representations
July 25 to July 29, 2011
at the
American Institute of Mathematics,
San Jose, 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
by Jan Möllers and Yoshiki Oshima,
J. Lie Theory 25 (2015), no. 4, 949-983 MR3345043Duflo's conjecture for the branching to the Iwasawa AN-subgroup
by Gang Liu,
Math. Ann. 362 (2015), no. 1-2, 107-120 MR3343871The continuous spectrum in discrete series branching laws
by Benjamin Harris, Hongyu He, and Gestur Olafsson,
Internat. J. Math. 24 (2013), no. 7, 1350049, 29 pp MR3084730Discrete components in restriction of unitary representations of rank one semisimple Lie groups
by Genkai Zhang,
J. Funct. Anal. 269 (2015), no. 12, 3689-3713 MR3418069
