On certain L-functions for deformations of knot group representations
トポロジー金曜セミナー
開催期間
2015.6.19(金)
16:00 ~ 17:00
16:00 ~ 17:00
場所
九州大学 伊都キャンパス 数理学研究教育棟3階 小講義室2
講演者
丹下 稜斗 (九州大学)
概要
We study the twisted knot module for the universal deformation of an SL(2)-representation of a knot group, and introduce an associated L-function, which may be seen as an analogue of algebraic p-adic L-function associated to the universal deformation of a Galois representation. We then verify affirmatively Mazur's problem on the order of a zero of the L-function by some concrete examples for 2-bridge knots.
This is the joint work with T. Kitayama, Y. Terashima and M. Morishita.
※ このセミナーは代数学セミナーとの合同セミナーです．