Proves explicit reciprocity law for Euler system of spin motive of genus 2 Siegel modular form, giving partial Iwasawa Main Conjecture and Bloch-Kato conjecture results.
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For n greater than or equal to 3 and sufficiently generic weights, the universal supersingular representation of GL_n(k) is non-admissible and of infinite length.
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On the Bloch-Kato conjecture for GSp(4)
Proves explicit reciprocity law for Euler system of spin motive of genus 2 Siegel modular form, giving partial Iwasawa Main Conjecture and Bloch-Kato conjecture results.
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Non-admissibility of some universal supersingular representations
For n greater than or equal to 3 and sufficiently generic weights, the universal supersingular representation of GL_n(k) is non-admissible and of infinite length.