| 研究実績の概要 |
Duering 2017 Academic Year I continue study combinatorial and algebraic properties of some quadratic algebras with applications to classical and quantum Schubert and Grothendieck Calculi, noncommutative deformations of Orlik-Terao and Zonotopal algebras (partly with G. Nenashev); representation theory of quadratic algebras in question to a[[lications to the theory elliptic hypergeometric functions and Integrable Systems and combinatorics of classical and elliptic Painleve IV. Exposition of aforementioned results will be summarize in my book "On some quadratic Algebras"( work in progress).
Jointly with R. Sakamoto we continue work on our book "Bethe Ansatz and Combinatorics". We already prepare the main body of book, but need to include a big amount of auxiliary material.
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| 現在までの達成度 (区分) |
現在までの達成度 (区分)
2: おおむね順調に進展している
理由
We have progress with construction of representations of the quadratic algebras in questions, with applications to Combinatorics of Schubert and Grothendieck Calculi, Graphical Arrangements, and Elliptic Calculus applications to tegrable Systems, mainly in venue Painleve VI.
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| 次年度使用額が生じた理由 |
Since I'm citizen of Russia, but have Japanese residency and live in Kyoto, I have problems to obtain visa and visit some countries, namely, SA,Switzerland, France and Australia. By this reasons I have cancelled my invited invitations to some Universities of that countries, and don't have enough time to use kakenhi fund on 2017/2018 Academic Year in full.
In this Academic Year I have plans to visit Russia, Moscow State University and HES, South Korea (KIAS), and hopefully Australia (University of risbane ,as
well as visit and invite my Japanese co-authors and collaborators from Tokyo, Kobe, Nagoya, Okayama, and invite my collaborators, M.Noumi, T.Maeno, Sakamoto, K. Hikami among others to Kyoto for joint research.
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