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SUMMARY:Towards an orbit method for nilpotent Lie groupoids [Oberseminar G
 lobal Analysis and Operator Algebras]
DTSTART:20260616T121500Z
DTEND:20260616T134500Z
DTSTAMP:20260615T222500Z
UID:indico-event-1407@math-events.uni-bonn.de
DESCRIPTION:Speakers: Foteini Giapantzi (Uni Bonn)\n\nKirillov's orbit met
 hod establishes a correspondence between irreducible unitary representatio
 ns of connected\, simply connected nilpotent Lie groups and their coadjoin
 t orbits. This correspondence plays a central role in representation theor
 y and has important applications in analysis\, including the study of hypo
 elliptic differential operators.\nIn this talk\, I will review the classic
 al orbit method for nilpotent Lie groups and discuss its extension to tran
 sformation-group $C^*$-algebras\, as introduced by Dean Moore. This result
  describes the primitive ideal space of $C^*(G\,\\Omega)$ in terms of a qu
 otient of $\\mathfrak{g}^* \\times \\Omega$. Finally\, I will introduce Li
 e groupoids and discuss the question of whether an orbit-method framework 
 can be developed for suitable classes of nilpotent Lie groupoids.\n\nhttps
 ://math-events.uni-bonn.de/event/1407/
LOCATION:Endenicher Allee 60/1-008 (Mathezentrum)
URL:https://math-events.uni-bonn.de/event/1407/
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