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Thursday 24 Oct 2019NT Seminar: An explicit reciprocity law for the GSp(4)-Euler system

Prof. Sarah Zerbes - UCL

H103 14:30-16:30

I will report on work in progress with David Loeffler and Chris Skinner. I will sketch a proof for of an explicit reciprocity law for the Euler system attached to the spin representation of genus 2 Siegel modular forms, relating the Euler system to the spin p-adic L-function that we constructed in joint work with Vincent Pilloni. As an application, we obtain bounds on Selmer groups, conditional on the nonvanishing of non-critical p-adic L-values.

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