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SUMMARY:Vadim Vologodsky (MIT)
DTSTART:20230307T213000Z
DTEND:20230307T223000Z
DTSTAMP:20260423T125618Z
UID:MITNT/71
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MITNT/71/">D
 ual abelian varieties over a local field have equal volumes</a>\nby Vadim 
 Vologodsky (MIT) as part of MIT number theory seminar\n\nLecture held in R
 oom 2-449 in the Simons Building (building 2).\n\nAbstract\nA top degree d
 ifferential form $\\omega$ on a smooth algebraic variety $X$ over a local 
 field $K$ gives rise to a (real valued) measure on $X(K)$. The Serre duali
 ty yields a natural isomorphism between the vector spaces of global top de
 gree forms on an abelian variety and the dual abelian variety. I will prov
 e that the corresponding volumes are equal.\n
LOCATION:https://researchseminars.org/talk/MITNT/71/
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