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SUMMARY:Farbod Shokrieh (University  of Washington)
DTSTART:20240223T200000Z
DTEND:20240223T210000Z
DTSTAMP:20260406T162040Z
UID:agstanford/131
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/agstanford/1
 31/">Heights\, abelian varieties\, and tropical geometry</a>\nby Farbod Sh
 okrieh (University  of Washington) as part of Stanford algebraic geometry 
 seminar\n\nLecture held in 383-N.\n\nAbstract\nI will describe some connec
 tions between arithmetic geometry of abelian varieties\, non-archimedean/t
 ropical geometry\, and combinatorics. For a principally polarized abelian 
 variety\, we show an identity relating the Faltings height and the Néron-
 -Tate height (of a symmetric effective divisor defining the polarization) 
 which involves invariants arising from non-archimedean/tropical geometry. 
 If time permits\, we also give formulas for (non-archimedean) canonical lo
 cal heights in terms of tropical invariants. (Based on joint work with Rob
 in de Jong)\n
LOCATION:https://researchseminars.org/talk/agstanford/131/
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