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SUMMARY:Daniel Disegni (Ben-Gurion Univ. of the Negev)
DTSTART:20221018T170000Z
DTEND:20221018T180000Z
DTSTAMP:20260423T010131Z
UID:UAANTS/53
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UAANTS/53/">
 Theta cycles</a>\nby Daniel Disegni (Ben-Gurion Univ. of the Negev) as par
 t of University of Arizona Algebra and Number Theory Seminar\n\n\nAbstract
 \nI will introduce ‘canonical’ algebraic cycles for motives M enjoying
  a certain symmetry  - for instance\, some symmetric powers of elliptic cu
 rves. The construction is based on works of Kudla and Liu on some (conject
 urally modular) theta series valued in Chow groups of Shimura varieties. T
 he cycles have Heegner-point-like features that allow\, under some assumpt
 ions\, to establish an analogue of the BSD conjecture for M at an ordinary
  prime p. Namely\, if the p-adic L-function of M vanishes at 0 to order ex
 actly 1\, then the Selmer group of M has rank 1 and it is generated by cla
 sses of algebraic cycles. Partly joint work with Yifeng Liu.\n
LOCATION:https://researchseminars.org/talk/UAANTS/53/
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