Bloch-Kato special value formulas for Hilbert modular forms

Abstract: The Bloch-Kato conjectures predict a relation between arithmetic invariants of a motive and special values of the associated $L$-function. We will outline a proof of (the $p$-part of) one inequality in the relevant special value formula for Hilbert modular forms of parallel weight two, in analytic rank at most one.

number theory

Audience: researchers in the topic

London number theory seminar

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