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SUMMARY:Victor Nistor (Université de Lorraine)
DTSTART:20221005T190000Z
DTEND:20221005T200000Z
DTSTAMP:20260420T053205Z
UID:NYC-NCG/110
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NYC-NCG/110/
 ">Invariant differential operators acting on quotient spaces and their ind
 ex</a>\nby Victor Nistor (Université de Lorraine) as part of Noncommutati
 ve geometry in NYC\n\n\nAbstract\nLet $G$ be a compact Lie group acting on
  a smooth manifold $M$ (without                             \nboundary)\, 
 $E \\to M$ be an equivariant bundle\, and $P$ be a $G$-invariant          
                  \npseudodifferential operator acting on the sections of $
 E$. Let $\\alpha$                             \nbe an irreducible represen
 tation of $G$ and $\\pi_\\alpha(P)$ be the restriction                    
   \nof $P$ to the isotypical component corresponding to $\\alpha$. We stud
 y the                          \nresulting algebra of symbols and we give 
 a simple\, necessary and sufficient                         \ncriterion fo
 r $\\pi_\\alpha(P)$ to be Fredholm. We also provide a spectral            
                 \nsequence converging to the periodic cyclic homology of t
 he corresponding                            \nalgebra of symbols. This wor
 k was done in collaboration with A. Baldare\,                            \
 nM. Benameur\, R. Come\, and M. Lesch.\n
LOCATION:https://researchseminars.org/talk/NYC-NCG/110/
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