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SUMMARY:Chiara Esposito (University of Salerno\, Italy)
DTSTART:20240513T140000Z
DTEND:20240513T150000Z
DTSTAMP:20260422T181248Z
UID:QGS/114
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/QGS/114/">Eq
 uivariant formality and reduction</a>\nby Chiara Esposito (University of S
 alerno\, Italy) as part of Quantum Groups Seminar [QGS]\n\n\nAbstract\nIn 
 this talk\, we discuss the reduction-quantization diagram in terms of form
 ality. First\, we propose a reduction scheme for multivector fields and mu
 ltidifferential operators\, phrased in terms of L-infinity morphisms. This
  requires the introduction of equivariant multivector fields and equivaria
 nt multidifferential operator complexes\, which encode the information of 
 the Hamiltonian action\, i.e.\, a G-invariant Poisson structure allowing f
 or a momentum map. As a second step\, we discuss an equivariant version of
  the formality theorem\, conjectured by Tsygan and recently solved in a jo
 int work with Nest\, Schnitzer\, and Tsygan. This result has immediate con
 sequences in deformation quantization\, since it allows for obtaining a qu
 antum moment map from a classical momentum map with respect to a G-invaria
 nt Poisson structure.\n
LOCATION:https://researchseminars.org/talk/QGS/114/
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