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比利时vs摩洛哥足彩 ,
university of california san diego

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math 256 - representation theory

kartik prasanna

ucla

periods of modular forms on shimura curves

abstract:

we study the relation between the petersson norm of a holomorphic gl(2) form $f$ and that of its (suitably normalized) jacquet-langlands lift $g$ to a shimura curve. the ratio of these two norms was previously shown to be algebraic by shimura and rational by harris-kudla. we prove an integrality result for this ratio and explain the arithmetic significance of this ratio in terms of certain congruences satisfied by $f$

host: wee teck gan

november 25, 2003

1:30 pm

ap&m 7321

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