On relations among multiple zeta values obtained in knot theory,
to appear in Proc. of Conf on Teichm\"uller and and Grothendieck-Teichm\"uller theories, Chern Institute,
Nankai Series in Pure, Applied Mathematics and Theoretical Physics, World Scientific, 2019.
A stabilizer interpretation of double shuffle Lie algebras
(with B.Enriquez),
IMRN, 22 (2018), 6870-6907
On the coefficients of the Alekseev Torossian associator,
Journal of Algebra 506 (2018), 364-378.
Desingularization of multiple zeta-functions of generalized Hurwitz-Lerch type and evaluation of $p$-adic multiple $L$-functions at arbitrary integers,
(with Y.Komori,
K.Matsumoto and
H.Tsumura),
RIMS Kokyuroku bessatsu B68 (2017), 27-66.
Galois action on knots I: Action of the absolute Galois group,
Quantum Topol. 8 (2017), no. 2, 295-360.
Desingularization of complex multiple zeta-functions
(with Y.Komori,
K.Matsumoto and
H.Tsumura),
Amer. J. Math. 139, No 1 (2017), 147-173.
Fundamentals of p-adic multiple L-functions and evaluation of their special values
(with Y.Komori,
K.Matsumoto and
H.Tsumura),
Sel. Math. New Ser. 23, (2017), 39-100.
p-adic Eisenstein-Kronecker series for CM elliptic curves and the Kronecker limit formulas,
(with S.Kobayashi and
K.Bannai.),
Nagoya Math. J. 219 (2015), 269-302.
Around associators,
Automorphic forms and Galois representations, 2, 105-117, London Math.Soc. Lecture Note Ser. 415 (2014), Cambridge Univ. Press, Cambridge.
Geometric interpretation of double shuffle relation for multiple L-values,
Galois-Teichm\"{u}ller theory and Arithmetic Geometry,
Advanced Studies in Pure Math 63 (2012), 163-187.
Mixed Pentagon, octagon and Broadhurst duality equation,
(with B.Enriquez),
Journal of Pure and Applied Algebra, Vol 216, Issue 4, (2012), 982-995.
Double shuffle relation for associators,
Annals of Mathematics, Vol. 174 (2011), No. 1, 341-360.
Pentagon and hexagon equations,
Annals of Mathematics, Vol. 171 (2010), No. 1, 545-556.
Algebraic cycles and motivic generic iterated integrals (with
A.Jafari),
Mathematical Research Letters,(2007) Vol 14, No.6, 923-942.
Regularization and generalized double shuffle relations
for p-adic multiple zeta values, (with
A.Jafari),
Compositio Math. Vol 143, (2007), 1089-1107.
p-adic multiple zeta values II -- tannakian interpretations,
Amer.J.Math, Vol 129, No 4, (2007),1105-1144.
p-adic multiple zeta values -- a pr\'{e}cis.
p-adic mathematical physics, 2nd international conference,
Amer.Inst.Phys, (2006), Conf. Proc. Vol 826, 222-236.
The double shuffle relations for p-adic multiple zeta values,
(with A.Besser).
AMS Contemporary Math, Vol 416, (2006), 9-29.
Periods and Motives, A Modern Perspective on Renormalization,
Instituto de Ciencias Matem\'{a}ticas Universidad Aut\'{o}noma de Madrid,
Madrid, Spain, 2nd-6th. July. 2012.
String seminar,
Nagoya University, Nagoya, Japan, 28th. June. 2012.
S\'{e}minnaire de G\'{e}om\'{e}trie et Dynamique,
Groupe de travail de Renormalisation -Supersym\'{e}trie,
math\'{e}matiques \`{a} Jussieu; Jussieu / Chevaleret, Paris, France,
27th. November. 2008.
S\'{e}minnaire d'alg\`{e}bre,
Institut Camille Jordan, Universit\'{e} Claude Bernard Lyon 1,
Lyon, France, 20th. November. 2008.
Suugaku Sansaku,
NHK cultural center, Nagoya, Japan, 23rd February. 2019.
Suugaku Sansaku, NHK cultural center, Nagoya, Japan, 21th July. 2018.
Students
N. Komiyama,
the God.
Address:
Graduate School of Mathematics,
Nagoya University, Chikusa-ku, Furo-cho, Nagoya 464-8602 Japan
Tel : +81-52-789-2418
Fax : +81-52-789-2408
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