Restriction of Unitary Representations to Reductive Subgroups. Encuentro de Teoria de Lie (in honor of Prof. Jorge Vargas' 60th Birthday). Córdoba, Argentina, 26 November 2009.

Branching problems ask how an irreducible representation of a group decomposes when restricted to a subgroup.

Following an observation of bad features and analytic difficulties of branching problems with respect to non-compact subgroups in the general setting, I will formalise a nice framework for the restriction of unitary representations, which leads us to a simpler and detailed study on branching problems.

Applications to global analysis will be briefly mentioned.

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© Toshiyuki Kobayashi