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SUMMARY:Jose Ignacio Burgos Gil (Instituto de Ciencias Matemáticas)
DTSTART:20220412T140000Z
DTEND:20220412T150000Z
DTSTAMP:20260423T021409Z
UID:ZAG/201
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ZAG/201/">Ch
 ern-Weil theory and Hilbert-Samuel theorem for semi-positive singular toro
 idal metrics on line bundles</a>\nby Jose Ignacio Burgos Gil (Instituto de
  Ciencias Matemáticas) as part of ZAG (Zoom Algebraic Geometry) seminar\n
 \n\nAbstract\nIn this talk I will report on joint work with A. Botero\, D.
  Holmes and R. de Jong. Using the theory of b-divisors and non-pluripolar 
 products we show that Chen-Weil theory and a Hilbert Samuel theorem can be
  extended to a wide class of singular semi-positive metrics. We apply the 
 techniques relating semipositive metrics on line bundles to b-divisors to 
 study the line bundle of Siegel-Jacobi forms with the Peterson metric. On 
 the one hand we prove that the ring of Siegel-Jacobi forms of constant pos
 itive relative index is never finitely generated\, and we recover a formul
 a of Tai giving the asymptotic growth of the dimension of the spaces of Si
 egel-Jacobi modular forms.\n
LOCATION:https://researchseminars.org/talk/ZAG/201/
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