Outline of Final Research Achievements |
To make clearer a relationship of the motivic Galois group with various fields of mathematics, I conducted researches, particularly on multiple zeta values and associators, and obtained the following results: geometric interpretation of the harmonic coproduct of multiple zeta values and constructions of its Betti counterpart, a method to calculate coefficients of the Alekseev-Torossian associator, relationship of associator relations and relations among multiple zeta values obtained in knot theory, relations between p-adic multiple L-functions and cyclotomic multiple harmonic values.
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