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SUMMARY:Positive energy representations of gauge groups
DTSTART:20150326T140000
DTEND:20150326T160000
DTSTAMP:20260928T210207Z
UID:f5595cdd99d5aa7073cc4377137c724df44ede1c0b8a5aed052cd8cc
CATEGORIES:Conferences - Seminars
DESCRIPTION:Karl-Hermann Neeb\nWe report on a joint project with Bas Janss
 ens on unitary representations of gauge groups Gau_c(P) (compactly support
 ed gauge transformations) of a principal bundle P with compact structure g
 roup K over a smooth manifold. We consider representations which are covar
 iant with respect to a smooth R-action by automorphisms on the bundle P fo
 r which the corresponding flow on M has no fixed points. If M is compact a
 nd the flow on M is periodic\, then all irreducible representations of thi
 s type are finite tensor products of representations of twisted loop group
 s obtained by restrictions to finitely many orbits in M. If M is not compa
 ct\, then locally finite sets of orbits in M lead to infinite tensor produ
 cts which can be controlled by suitable C^*-algebras.
LOCATION:BI A0 448 https://plan.epfl.ch/?room==BI%20A0%20448
STATUS:CONFIRMED
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