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SUMMARY:Daniel Disegni (BGU)
DTSTART:20220203T173000Z
DTEND:20220203T190000Z
DTSTAMP:20260423T022811Z
UID:UCSBsga/33
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UCSBsga/33/"
 >Theta cycles</a>\nby Daniel Disegni (BGU) as part of UCSB Seminar on Geom
 etry and Arithmetic\n\n\nAbstract\nFor any elliptic curve E over Q\, an ex
 plicit construction yields a point P in E(Q) that is canonical\, in the fo
 llowing sense: (*) P is non-torsion <=> the group E(Q) and all p^\\infty-S
 elmer groups of E have rank 1.\nI will discuss a partial generalization of
  this picture to higher-rank motives M enjoying a `conjugate-symplectic’
  symmetry\; examples arise from symmetric products of elliptic curves. The
  construction of the “canonical algebraic cycle on M"\, based on works o
 f Kudla and Y. Liu\, uses theta series valued in Chow groups of Shimura va
 rieties\, and it relies on two very different modularity conjectures. Assu
 ming those\, I will present a version of the " => " part of (*)\, whose pr
 oof uses recent advances in the theory of Euler systems.\n
LOCATION:https://researchseminars.org/talk/UCSBsga/33/
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