Seminar meets on Thursdays 10:10-11:00AM CT in Vincent 570
Organizers: Shiyun Wang and Anna Weigandt
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Related Seminars
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Title: Random Quotients of Free Groups
Abstract: The study of random groups is one way to answer the question, "What behavior is `typical' for groups?" In this talk I'll introduce several models of random groups, share what is currently known about groups using these models. and talk about recent work pushing our knowledge in the field. This work sits at the intersection of combinatorial and geometric group theory.
Title: Odd shifted parking functions
Abstract: Recently, Stanley introduced the shifted parking function symmetric function SH_n as the shiftification of the classical parking function symmetric function PF_n. In this talk, we build two actions of the symmetric group whose character is SH_n and a combinatorial map between them. The first is on signed parking functions, also introduced by Stanley, while the second is on a novel family of combinatorial objects we call odd shifted parking functions. These actions allow us to realize combinatorially Stanley's expansion of SH_n into the V-basis, analogous to the homogenous expansion of PF_n. We conclude with some open problems and future directions.
This is joint work with Jesse Kim.
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