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Speaker: Ae Ja Yee, Professor at the Pennsylvania State University. Prof. Yee received her PhD from KAIST, South Korea, in 2000, under the supervision of Prof. Dongsu Kim. Her main research field is combinatorial bijections for integer partitions. She serves on the editorial boards of journals such as Combinatorial Theory, Discrete Mathematics, Frontiers in Combinatorics and Number Theory, International Journal of Number Theory, and The Ramanujan Journal.
Date: June 1, 2026
Time: 10:00-11:00 am
Location: E119, Huagang East Building, Shandong University Qingdao Campus
Sponsor: Research Center for Mathematics and Interdisciplinary Sciences, Shandong University
Abstract:
The Littlewood decomposition for partitions is a well-known bijection between partitions and pairs of t-core and t-quotient partitions. This decomposition can be described in several ways, such as the t-abacus method of James or the biinfinite word method of Garvan, Kim, and Stanton. In a recent study, Frobenius partitions have proven to be a highly useful tool in dealing with partition statistics related to t-core partitions. In this talk, I will present an alternative description of the Littlewood decomposition using Frobenius partitions. I will also discuss how our approach can be applied to self-conjugate partitions and doubled distinct partitions. This talk is based on joint work with Hyunsoo Cho and Eunmi Kim from Ewha Womans University.
For more information, please visit:
https://www.view.sdu.edu.cn/info/1020/212633.htm