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SUMMARY:Satake compactifications and the Schottky problem - Giulio Codogni
  (Cambridge)
DTSTART:20130130T141500Z
DTEND:20130130T151500Z
UID:TALK42418@talks.cam.ac.uk
CONTACT:Dr. J Ross
DESCRIPTION:I will prove some results about the singularities of Satake co
 mpactifications of classical moduli spaces\, this will give an insight int
 o the relation among solutions of the Schottky problem in different genera
 . In particular\, the Jacobian locus turns out to be very singular\, so th
 ere are not any stable modular forms vanishing on it for every genus. On t
 he other hand\, the singularities of the Hyperelliptic locus are not that 
 bad\, so\, using Theta series associated to lattices\, I will be able to c
 onstruct many stable modular forms vanishing on the Hyperelliptic locus fo
 r every genus.\n\n
LOCATION:MR 13\, CMS
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