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SUMMARY:Daniel Disegni (BGU)
DTSTART:20211015T143000Z
DTEND:20211015T160000Z
DTSTAMP:20260423T004730Z
UID:CAFAS/27
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CAFAS/27/">E
 uler systems for conjugate-symplectic motives</a>\nby Daniel Disegni (BGU)
  as part of Columbia Automorphic Forms and Arithmetic Seminar\n\n\nAbstrac
 t\nKolyvagin's original Euler system (1990)\, based on Heegner points\, co
 mplemented the height formula of Gross and Zagier to prove a key case of t
 he Birch and Swinnerton-Dyer conjecture. I will introduce some new Euler s
 ystems. They are of a species theorized by Jetchev--Nekovar--Skinner\, and
  pertain to those representations of the Galois group of a CM field that a
 re automorphic\, carry a conjugate-symplectic form\, and have the simplest
  Hodge--Tate type. \n\nThe construction is based on Kudla's special cycles
  on unitary Shimura varieties\, under an assumption of modularity for thei
 r generating series. Together with a recent height formula by Li--Liu and 
 the forthcoming theory of JNS\, this reduces some cases of the Beilinson--
 Bloch--Kato conjecture to the injectivity of Abel--Jacobi maps.\n
LOCATION:https://researchseminars.org/talk/CAFAS/27/
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