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SUMMARY:Elliptic curves attached to abelian threefolds with imaginary mult
 iplication [MPIM]
DTSTART:20261021T123000Z
DTEND:20261021T133000Z
DTSTAMP:20261017T185900Z
UID:indico-event-1652@math-events.uni-bonn.de
DESCRIPTION:Speakers: Pip Andrew Goodman (MPIM)\n\nNumber theory lunch sem
 inar\nLet A be an abelian threefold defined over a number field K whose ge
 ometric endomorphism algebra is isomorphic to an imaginary quadratic field
  M. In recent joint work with Fité\, under mild assumptions on K\, we pro
 ved the existence of an elliptic curve E defined over K with CM by M such 
 that for any prime \\ell\, the twisted Tate module V_\\ell(E)(1) is a subr
 epresentation of \\wedge^3 V_\\ell(A).\nIn this talk I will give an overvi
 ew of the proof of the above result\, families of examples of such abelian
  threefolds and the corresponding elliptic curves. Depending on time\, I m
 ight also talk about their residual respresentations.\n\nhttps://math-even
 ts.uni-bonn.de/event/1652/
LOCATION:MPIM\, Vivatsgasse\,  7 - Lecture Hall (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/1652/
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