比利时vs摩洛哥足彩
,
university of california san diego
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math 209 - number theory
yuval flicker
ohio state university
level-raising congruences for algebraic automorphic representations level-raising congruences for algebraic automorphic representations
abstract:
let $\pi$ be an algebraic automorphic representation of a reductive group $g$ over a totally real number field $f$. assume $g$ is anisotropic at infinity, and $\pi$ is not congruent to an automorphic character. suppose $w$ is a finite place of $f$ where the component of $\pi$ is unramified and congruent to the trivial representation. then there is an automorphic representation $\pi'$ of $g$ congruent to $\pi$, with the same central character and type at infinity, whose component at w is more ramified than that of $\pi$. applications in rank one and two include showing that saito-kurokawa forms are congruent to generic ones, for the genus two symplectic group.
host: wee teck gan
april 24, 2008
2:00 pm
ap&m 7321
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