Ae Ja Yee

Affiliation: Penn State

Title Of Talk: On the number of $t$-hooks in self-conjugate and doubled distinct partitions

Abstract: Partition hooks play a key role in connecting the partition theory and representation theory, and they are interesting combinatorial objects in their own right. Recently, the total number of $t$-hooks has received a lot of attention, for example the work of Griffin, Ono, and Tsai on the distribution of the number of t-hooks in partitions of n, and the work of Ballantine, Burson, Craig, Folsom, and Wen on hook length bias. In this talk, I will discuss some results on the number of $t$-hooks and hook length bias in self-conjugate and doubled distinct partitions. This talk is based on joint work with Hyunsoo Cho, Byungchan Kim and Eunmi Kim.

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