July 14 (Wednesday) 2021 16:00 - 18:00, via Zoom

▶Speaker : Hayan Nam(Duksung Women's University)
▶Title : Several types of core partitions and related objects
▶Abstract : An integer partition is called an $s$-core partition if $s$ is not a hook length of the partition, and is called an $(s_1, s_2, \ldots, s_k)$-core partition if it is an $s_i$-core for all $1\le i\le k$. In this talk, we first discuss some results on simultaneous core partitions and self-conjugate core partitions. Then, we talk about bar-cores, core shifted Young diagrams (or CSYDs), and doubled distinct cores, which seem irrelevant at first, but we eventually show that they are related to each other. Moreover, we give $NE$ lattice path interpretations of these core partitions on $(s,t)$-cores and free Motzkin path interpretations of these core partitions on $(s,s+d,s+2d)$-cores.

UNIST Number Theory group 홈페이지에서도 아래와 같이 확인하실 수 있습니다.