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SUMMARY:Alice Lin (Harvard University)
DTSTART:20260505T193000Z
DTEND:20260505T203000Z
DTSTAMP:20260824T073708Z
UID:FCNTS/16
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/FCNTS/16/">F
 initeness of heights in isogeny classes of motives</a>\nby Alice Lin (Harv
 ard University) as part of Pioneer Valley Number Theory Seminar\n\nLecture
  held in Seeley Mudd 205 @Amherst College.\n\nAbstract\nUsing integral $p$
 -adic Hodge theory\, Kato and Koshikawa define a generalization of the Fal
 tings height of an abelian variety to motives defined over a number field.
  Assuming the adelic Mumford-Tate conjecture\, we prove a finiteness prope
 rty for heights in the isogeny class of a motive\, where the isogenous mot
 ives are not required to be defined over the same number field. This expan
 ds on a result of Kisin and Mocz for the Faltings height in isogeny classe
 s of abelian varieties.\n
LOCATION:https://researchseminars.org/talk/FCNTS/16/
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