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SUMMARY:Alice Lin (Harvard University)
DTSTART:20260505T200000Z
DTEND:20260505T210000Z
DTSTAMP:20260422T173749Z
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 Five College Number Theory Seminar\n\nLecture h
 eld in Seeley Mudd 205 @Amherst College.\n\nAbstract\nUsing integral $p$-a
 dic Hodge theory\, Kato and Koshikawa define a generalization of the Falti
 ngs height of an abelian variety to motives defined over a number field. A
 ssuming the adelic Mumford-Tate conjecture\, we prove a finiteness propert
 y for heights in the isogeny class of a motive\, where the isogenous motiv
 es are not required to be defined over the same number field. This expands
  on a result of Kisin and Mocz for the Faltings height in isogeny classes 
 of abelian varieties.\n
LOCATION:https://researchseminars.org/talk/FCNTS/16/
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