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SUMMARY:Daniel Disegni (Ben-Gurion University of the Negev)
DTSTART:20220920T214500Z
DTEND:20220920T224500Z
DTSTAMP:20260423T125842Z
UID:MITNT/54
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MITNT/54/">A
 lgebraic cycles and p-adic L-functions for conjugate-symplectic motives</a
 >\nby Daniel Disegni (Ben-Gurion University of the Negev) as part of MIT n
 umber theory seminar\n\nLecture held in Room 2-143 in the Simons Building 
 (building 2).\n\nAbstract\nI will introduce ‘canonical’ algebraic cyc
 les for motives $M$ enjoying a certain symmetry  - for instance\, some sy
 mmetric powers of elliptic curves. The construction is based on works of K
 udla and Liu on some (conjecturally modular) theta series valued in Chow
  groups of Shimura varieties. The cycles have Heegner-point-like features 
 that allow\, under some assumptions\, to support an analogue of the BSD co
 njecture for M at an ordinary prime $p$. Namely: if the $p$-adic $L$-funct
 ion of $M$ vanishes at the center to order exactly 1\, then the ${\\bf Q}_
 p$-Selmer group of $M$ has rank 1\, and it is generated by classes of alge
 braic cycles. Partly joint work with Yifeng Liu.\n
LOCATION:https://researchseminars.org/talk/MITNT/54/
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