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佐久川 憲児  サクガワ ケンジ

教員組織学術研究院(教育学系)電話番号
教育組織教育学部 数学教育FAX番号
職名助教メールアドレス
住所〒380-8544 長野県長野市西長野6のロホームページURL

プロフィール

学歴
取得学位
博士(理学) , 大阪大学

研究活動業績

研究業績(著書・
発表論文等)
論文
Generalized Beilinson Elements and Generalized Soule Characters
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES,73(2):542-571 2021(Apr.)
Author:Sakugawa, Kenji;
Keywords:generalized Beilinson element; generalized Soule character; polylogarithm;


On modified finite polylogarithms
JOURNAL OF NUMBER THEORY,201:190-205 2019(Aug.)
Author:Sakugawa, Kenji;
Keywords:Finite polylogarithm; Etale polylogarithm; Mixed Tate motive;


On a non-abelian generalization of the Bloch-Kato exponential map
Mathematical Journal of Okayama university,59:41-70 2018
Author:Kenji Sakugawa


A CONTROL THEOREM FOR THE TORSION SELMER POINTED SET
TOHOKU MATHEMATICAL JOURNAL,70(2):175-223 2018
Author:Sakugawa, Kenji;
Keywords:Selmer variety; control theorem; Iwasawa theory;


Finite and etale polylogarithms
JOURNAL OF NUMBER THEORY,176:279-301 2017(Jul.)
Author:Sakugawa, Kenji; Seki, Shin-ichiro;
Keywords:Finite polylogarithm; Etale polylogarithm;


Polylogarithmic analogue of the Coleman-Ihara formula, II (Algebraic Number Theory and Related Topics 2014)
数理解析研究所講究録別冊,(64):33-54 2017(May)
Author:中村 博昭;佐久川 憲児;[ヨミ等調査中]
Abstract:In this paper, generalizing our result in Part I, we show a formula that expresses a certain linear sum of Galois polylogarithms as a corresponding sum of the Coates-Wiles homomorphisms multiplied by Coleman's p-adic polylogarithms. These linear sums are characterized by tensor conditions of Zagier's conjecture on Bloch groups.
Keywords:11G35;14F30;14H30;l-adic polylogarithm;Bloch group;Coates-Wiles homomorphism;Non-abelian p-adic Hodge theory


POLYLOGARITHMIC ANALOGUE OF THE COLEMAN-IHARA FORMULA, I
OSAKA JOURNAL OF MATHEMATICS,54(1):55-74 2017(Jan.)
Author:Nakamura, Hiroaki; Sakugawa, Kenji; Wojtkowiak, Zdzislaw;


On functional equations of finite multiple polylogarithms
JOURNAL OF ALGEBRA,469:323-357 2017
Author:Sakugawa, Kenji; Seki, Shin-ichiro;
Keywords:Finite multiple polylogarithm; Functional equation; Congruence; Bernoulli number;


Non-constant Teichmuller level structures and an application to the Inverse Galois Problem
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN,68(3):1189-1218 2016(Jul.)
Author:Sakugawa, Kenji;
Keywords:Inverse Galois Problem; Hurwitz space; Hurwitz stack; Teichmuller level structure;


講演・口頭発表等
On Jannsen's conjecture for modular forms
The 8th East Asia Number Theory Conference 2019(Aug. 27)
Presenter:Kenji Sakugawa


On mixed elliptic smooth Q_p-sheaves over modular curves (in progress)
Multiple zeta values and related toplics 2019(Jun. 11)
Presenter:Kenji Sakugawa


On relative fundamental groupoids of modular curves
the 4th KTGU Mathematics Workshop for Young Researchers 2018(Sep. 29)
Presenter:Kenji Sakugawa


On relative fundamental groupoids of modular curves
Taiwan-Japan Joint Workshop on Multiple Zeta Values 2018(Aug. 04)
Presenter:Kenji Sakugawa


On mixed elliptic motives over modular curves
Mini-Workshop: Elliptic Multiple Zeta Values and Mixed Elliptic Motives 2018(Jul. 28)
Presenter:Kenji Sakugawa


A p-dic analogue of Zagier's polylogarithm conjecture
Polylogs, multiple zetas, and related topics 2017(Nov. 11)
Presenter:Kenji Sakugawa


Finite and etale polylogarithms
Workshop on Polylogarithms, MZVs and Mahler measures 2016(Mar. 28)
Presenter:Kenji Sakugawa


Polylogarithmic analogue of the Coleman-Ihara formula
Low dimensional topology and number theory VII 2015(Mar. 27)
Presenter:Kenji Sakugawa