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SUMMARY:Susan J. Sierra (University of Edinburgh)
DTSTART:20210505T121500Z
DTEND:20210505T131500Z
DTSTAMP:20260423T024610Z
UID:AarHomAlg/6
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/AarHomAlg/6/
 ">The Poisson spectrum of the symmetric algebra of the Virasoro algebra</a
 >\nby Susan J. Sierra (University of Edinburgh) as part of Aarhus Homologi
 cal Algebra Seminar\n\n\nAbstract\nLet W be the Witt algebra of polynomial
  vector fields on the punctured\ncomplex plane\, and let Vir be the Viraso
 ro algebra\, the unique nontrivial central\nextension of W. We discuss wor
 k in progress with Alexey Petukhov to analyse\nPoisson ideals of the symme
 tric algebra of Vir. We focus on understanding\nmaximal Poisson ideals\, w
 hich can be given as the Poisson cores of maximal\nideals of Sym(Vir) and 
 of Sym(W). We give a complete classification of maximal\nideals of Sym(W) 
 which have nontrivial Poisson cores. We then lift this\nclassification to 
 Sym(Vir)\, and use it to show that if $\\lambda \\neq 0$\, then $(z-\n\\la
 mbda)$ is a maximal Poisson ideal of Sym(Vir).\n
LOCATION:https://researchseminars.org/talk/AarHomAlg/6/
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