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Number Theory Seminar

Thursday, February 8, 2024
4:00pm to 5:00pm
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Linde Hall 387
Uniform irreducibility of Galois action on the p-primary part of Abelian 3-folds of Picard type
Mladen Dimitrov, Department of Mathematics, University of Lille,

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 p-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 p-primary part of principally polarized Abelian 3-folds with multiplication by an imaginary quadratic field having no CM factors, under a technical condition which is void in the semi-stable case.

For more information, please contact Math Department by phone at 626-395-4335 or by email at [email protected].