BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Sarah Zerbes (University College London)
DTSTART:20211103T150000Z
DTEND:20211103T160000Z
DTSTAMP:20260418T065507Z
UID:LNTS/56
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LNTS/56/">Eu
 ler systems and the BSD conjecture for abelian surfaces</a>\nby Sarah Zerb
 es (University College London) as part of London number theory seminar\n\n
 Lecture held in Huxley 144\, Imperial.\n\nAbstract\nEuler systems are one 
 of the most powerful tools for proving cases of the Bloch--Kato conjecture
 \, and other related problems such as the Birch and Swinnerton-Dyer conjec
 ture. I will recall a series of recent works (variously joint with Loeffle
 r\, Pilloni\, Skinner) giving rise to an Euler system in the cohomology of
  Shimura varieties for GSp(4)\, and an explicit reciprocity law relating t
 his to values of L-functions. I will then explain work in progress with Lo
 effler\, in which we use this Euler system to prove new cases of the BSD c
 onjecture for modular abelian surfaces over Q\, and modular elliptic curve
 s over imaginary quadratic fields.\n
LOCATION:https://researchseminars.org/talk/LNTS/56/
END:VEVENT
END:VCALENDAR