## *Restriction of Unitary Representations of Real Reductive
Groups*.

Number Theory Seminar. Harvard University, 28 May 2008.

Branching problems ask how an irreducible representation of
a group decomposes when restricted to its subgroup.
Having an observation of bad features of branching problems in a general
non-compact setting even for real reductive symmetric pairs, I will discuss how to find a
nice setting for branching problems,
and give an upper estimate on multiplicities. If time allows, some applications are also presented.

© Toshiyuki Kobayashi