Representation theory (of classical groups, quantum groups and Hecke algebras) and combinatorics

在努力获得对Young tabueaux和推广之间巧妙构造的组合双射的具体理解方面，已经取得了进展，其中Robinson-Schensted对应是一个明显的例子，与表示理论中出现的某些几何对象有关，例如在幂零矩阵下稳定的各种旗帜。在其他研究人员的帮助下，一个特定的案例迅速得到了推进。此外，与不同研究人员的交流在经典群和相关对象的表示以及组合学中引起了几个注意点，提供了与先前经验的研究主题相关的进一步发展的前景。

Progress has been made in the efforts to obtain concrete understanding of the combinatorial bijections that had been tactfully constructed between Young tabueaux and generalizations, of which the Robinson-Schensted correspondence is a notable example, in relation with certain geometric objects appearing in representation theory, such as the variety of flags stable under a nilpotent matrix. A particular case was rapidly advanced with the help of viewpoints of other researchers. In addition, exchange with various researchers has brought several points to notice in the representations of classical groups and related objects as well as combinatorics, providing prospects of further developments in connection with previously experienced research topics.