Seminar
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| Location: | SLMath: Eisenbud Auditorium, Online/Virtual |
Keywords and Mathematics Subject Classification (MSC)
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DioG Program Research Seminar: Uniform Irreducibility Of Galois Action On The L-Primary Part Of Abelian 3-Folds Of Picard Type
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Half a century ago Manin proved a uniform version of Serre's celebrated result on the openness of the Galois image in the automorphisms of the l-adic Tate module of any non-CM elliptic curve over a given number field. In a collaboration with D. Ramakrishnan we provide first evidence in higher dimension. Namely, we establish a uniform irreducibility of Galois acting on the l-primary part of principally polarized Abelian 3-folds of Picard type without CM factors, under a technical condition which is void in the semi-stable case.
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