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SUMMARY:Uniform irreducibility of Galois action on the l-primary part of A
 belian 3-folds of Picard type - Mladen Dimitrov (Lille)
DTSTART:20190226T143000Z
DTEND:20190226T153000Z
UID:TALK118312@talks.cam.ac.uk
CONTACT:Jack Thorne
DESCRIPTION:Half a century ago Manin proved a uniform version of Serre's c
 elebrated 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. Recently in a series of papers Cadoret and Tamagawa  established a
  definitive result regarding the uniform boundedness of the l-primary tors
 ion for 1-dimensional abelian families. In a collaboration with D. Ramakri
 shnan we provide first evidence in higher dimension\, in the case of abeli
 an families parametrized by Picard modular surfaces over an imaginary quad
 ratic field M. Namely\, we establish a uniform irreducibility of Galois ac
 ting on the l-primary part of principally polarized Abelian 3-folds with m
 ultiplication by M\, but without CM factors.
LOCATION:MR13
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