BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Óscar Rivero (Warwick University)
DTSTART:20220414T094500Z
DTEND:20220414T104500Z
DTSTAMP:20260423T053017Z
UID:NTUniPD/5
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NTUniPD/5/">
 Anticyclotomic Euler systems and diagonal cycles</a>\nby Óscar Rivero (Wa
 rwick University) as part of Number Theory Seminars at Università degli S
 tudi di Padova\n\n\nAbstract\nIn this talk\, I will discuss joint work wit
 h Raul Alonso and Francesc Castella where we construct an anticyclotomic E
 uler system for the Rankin$-$Selberg convolutions of two modular forms\, u
 sing $p$-adic families of generalized Gross$-$Kudla$-$Schoen diagonal cycl
 es. As applications of this construction\, we prove new cases of the Bloch
 $-$Kato conjecture in analytic rank zero (and results towards new cases in
  analytic rank one)\, and a divisibility towards an Iwasawa main conjectur
 e. If time permits\, I will also consider the case of the symmetric square
  of a modular form\, where the key ingredient is a factorization formula f
 or the triple product $p$-adic $L$-function.\n
LOCATION:https://researchseminars.org/talk/NTUniPD/5/
END:VEVENT
END:VCALENDAR