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SUMMARY:Jared Weinstein (Boston University)
DTSTART:20200708T150000Z
DTEND:20200708T160000Z
DTSTAMP:20260418T065400Z
UID:LNTS/12
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LNTS/12/">Pa
 rtial Frobenius structures\, Tate’s conjecture\, and BSD over function f
 ields.</a>\nby Jared Weinstein (Boston University) as part of London numbe
 r theory seminar\n\n\nAbstract\nTate’s conjecture predicts that Galois-i
 nvariant classes in the $l$-adic cohomology of a variety are explained by 
 algebraic cycles.  It is known to imply the conjecture of Birch and Swinne
 rton-Dyer (BSD) for elliptic curves over function fields.  When the variet
 y\, now assumed to be in characteristic p\, admits a “partial Frobenius 
 structure”\, there is a natural extension of Tate’s conjecture.    Ass
 uming this conjecture\, we get not only BSD\, but the following result:  t
 he top exterior power of the Mordell-Weil group of an elliptic curve is sp
 anned by a “Drinfeld-Heegner” point.  This is a report on work in prog
 ress.\n
LOCATION:https://researchseminars.org/talk/LNTS/12/
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