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DTSTART;VALUE=DATE:20240521T171500
DTEND;VALUE=DATE:20240521T171500
UID:15708@agenda.unifr.ch
DESCRIPTION:It is a well-known fact that holomorphic functions extend across subsets of\ncodimension 2. Restricting to the subclass of Siegel modular forms, the Koecher\nprinciple states that these functions even extend holomorphically across the\n1-codimensional boundary of a (toroidal) compactication of the underlying\nSiegel modular variety provided its complex dimension is greater than 1. As a\ndirect consequence of this principle, Siegel modular forms possess a convergent\nFourier{Jacobi expansion. Surprisingly, it turns out that also the converse holds,\ni. e., a formal Fourier{Jacobi expansion gives rise to a Siegel modular form and is\nthus automatically convergent. We will report about a cohomological approach\nto the solution of this conjecture by Steve Kudla.
SUMMARY:A complementary Koecher principle
CATEGORIES:Colloque / Congrès / Forum
LOCATION:PER 08\, auditoire 2.52\, Chemin du Musée 3\, 1700 Fribourg
URL;VALUE=URI:https://agenda.unifr.ch/e/fr/15708
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