比利时vs摩洛哥足彩
,
university of california san diego
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math 295 - mathematics colloquium
vinayak vatsal
university of british columbia
lambda-adic waldspurger packets
abstract:
wadspurger has shown that the genuine automorphic cuspidal representations of the metaplectic cover s of $sl_2$ are divided naturally into packets, and that thse packets are indexed by the cuspidal automorphic representations of $pgl_2$. we construct packets of lambda-adic modular forms of half integral weight, indexed by lambda-adic forms on $pgl_2$. the elements of the lambda-adic packets are nonzero, but they have specializations that vanish, owing to a trivial zero phenomenon and the sign of a complex root number. this is in contrast to the usual trivial zero phenomenon which arises from the vanishing of a p-adic factor.
host: cristian popescu
march 2, 2017
3:00 pm
ap&m 6402
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