Speaker: Jaebum Sohn (Yonsei University)
Title: Core Partition, Numerical Semigroups, and Related Problems
Abstract: In this talk, we will introduce the concept of t-core partitions. We will discuss the generating function and modularity, along with some results and applications of t-core partitions. Recent results on simultaneous core partitions will also be presented. At the end of the talk, we will introduce numerical semigroups and explore connections between numerical semigroups (or numerical sets) and partitions. Additionally, we will present some problems related to these topics.