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SUMMARY:Sarah Zerbes (University College London)
DTSTART:20210316T143000Z
DTEND:20210316T153000Z
DTSTAMP:20260423T130252Z
UID:MITNT/23
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MITNT/23/">E
 uler systems and explicit reciprocity laws for GSp(4)</a>\nby Sarah Zerbes
  (University College London) as part of MIT number theory seminar\n\n\nAbs
 tract\nEuler systems are a very powerful tool for attacking the Bloch—Ka
 to conjecture\, which is one of the central open problems in number theory
 . In this talk\, I will sketch the construction of an Euler system for the
  spin Galois representation of a genus 2 Siegel modular form. I will then 
 explain how to prove an explicit reciprocity law\, relating the image of t
 he Euler system under the Bloch—Kato logarithm map to values of the comp
 lex L-function of the Siegel modular form. The applications of this result
  to the Bloch—Kato conjecture and the Iwasawa Main Conjecture will be di
 scussed by David Loeffler in the following week.\n
LOCATION:https://researchseminars.org/talk/MITNT/23/
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