PIMS Network Wide Colloquium: Pamela Harris
Topic
Finding needles in haystacks: Boolean intervals in the weak order of $\mathfrak{S}_n$
Speakers
Details
Finding and enumerating Boolean intervals in $W(\mathfrak{S}_n)$, the weak order of symmetric group $\mathfrak{S}_n$, can feel like trying to find needles in a haystack. However, through surprising connection to the outcome map of parking functions we provide a complete characterization and enumeration for Boolean intervals in $W(\mathfrak{S}_n)$. We show that for any $\pi\in\mathfrak{S}_n$, the number of Boolean intervals in $W(\mathfrak{S}_n)$ with minimal element $\pi$, is a product of Fibonacci numbers.
This is joint work with Jennifer Elder, Jan Kretschmann, and J. Carlos MartÃnez Mori.
Additional Information
Time:
All Network Wide Colloquia take place at 1:30pm Pacific Time with a few exceptions.
Registration:
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