2024/05/26 更新

写真a

オオドイ リョウスケ
大土井 亮祐
所属
理工学術院 基幹理工学部
職名
助教
 

現在担当している科目

 

特定課題制度(学内資金)

  • tt*-戸田方程式のシンプレクティック幾何学

    2023年   Martin Guest, Alexander Its, Maksim Kosmakov, Kenta Miyahara

     概要を見る

    To solve the Riemann-Hilbert problem related to the tt*-Toda equation, we solved a Riemann-Hilbert problem related to the radial two-dimensional Toda lattice, which is obtained by changing the signs of the coefficients of the tt*-Toda equations. As a result, we obtained connection formulae. While the connection formulae themself are not new, previous studies obtained them using WKB analysis. In contrast, our approach utilized the Deift-Zhou nonlinear steepest descent method, extending the existing research from the case of 2×2 matrices to 3×3 matrices, which is a novel contribution. Research on the general case of n×n matrices is also ongoing. We summarized the results into a paper, as indicated in the achievements section, and it is currently under submission. Additionally, presentations were given, as noted in the achievements section (one in August 2023, which was about research results before then, and two in March 2024, which were related to the above).