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CATEGORIES:Algebra seminar
SUMMARY:The Orbit Method for Complex Groups - Lucas Mason-
Brown (University of Oxford)
DTSTART:20220323T153000Z
DTEND:20220323T163000Z
UID:TALK4758AT
URL:/talk/index/4758
DESCRIPTION:The classification of all irreducible unitary repr
esentations of a reductive Lie group G is one of t
he fundamental unsolved problems in representation
theory. In the 1960s\, Kostant and Kirillov prove
d that the irreducible unitary representations of
a *solvable* Lie group are (approximately) classif
ied by co-adjoint orbits of G. In the 1980s\, Davi
d Vogan conjectured that a version of this result
should hold for semisimple Lie groups. This set of
theorems (in the solvable case) and conjectures (
in the reductive case) is referred to as the "Orbi
t Method". In recent joint work with Ivan Losev an
d Dmitryo Matvieievskyi\, we define an orbit metho
d correspondence for complex reductive algebraic g
roups (regarded as real groups by restriction of s
calars). I will report on this work and discuss po
ssible extensions to the case of real groups.
LOCATION:Venue to be confirmed
CONTACT:Gareth Tracey
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