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VERSION:2.0
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SUMMARY:On formal Fourier-Jacobi expansions
DTSTART:20190905T141500
DTEND:20190905T153000
DTSTAMP:20260407T102654Z
UID:91554e4f82962dc298febc068dc293398ff84bc1e228f13bca23397e
CATEGORIES:Conferences - Seminars
DESCRIPTION:Jürg Krämer\, Humboldt University of Berlin\nIt is a classic
 al fact that Siegel modular forms possess so-called Fourier-Jacobi expansi
 ons. The question then arises\, given such an expansion\, when does it ori
 ginate from a Siegel modular form. In the complex setting\, J. Bruinier an
 d M. Raum gave a necessary and sufficient criterion when Fourier-Jacobi ex
 pansions give rise to Siegel modular forms. In our talk we would like to r
 evisit this problem however using the arithmetic compactifications of the 
 moduli space of principally polarized abelian varieties established by G. 
 Faltings and C.-L. Chai. In particular\, this will allow us to generalize 
 the result of J. Bruinier and M. Raum to the arithmetic setting.
LOCATION:CM 1 104 https://plan.epfl.ch/?room==CM%201%20104
STATUS:CONFIRMED
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