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

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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.