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Seminar

Number Theory Seminar: The parity conjecture in analytic families October 15, 2014 (03:40 PM PDT - 04:30 PM PDT)
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Location: 740 Evans Hall
Speaker(s) Jonathan Pottharst (Boston University)
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The ``parity conjecture'' refers to the order of vanishing modulo 2 in the Bloch–-Kato conjecture on special values of motivic L-functions. After specializing to a class of cases where the conjecture can be formulated unconditionally, we generalize techniques of Nekov\'a\v r to show that the validity of the claim is constant in p-adic analytic families, and give applications to Hilbert modular forms. This is joint work with Liang Xiao.

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