##### Department of Mathematics,

University of California San Diego

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### Math 296-Graduate Student Colloquium

## Brendon Rhoades

## Local permutation statistics

##### Abstract:

A {\em permutation statistic} is a complex-valued function on the symmetric group $\mathfrak{S}_n$. We describe a notion of `locality' which measures the complexity of permutation statistics. Applications are given to the asymptotic behavior of families of statistics as the parameter $n$ grows. The key technical tool is an irreducible character evaluation on the symmetric group algebra which involves a novel combinatorics of `monotonic ribbon tableaux'. Joint with Zach Hamaker.

Host: Jonathan Novak

### January 18, 2023

### 4:00 PM

Meeting is on Zoom at: https://ucsd.zoom.us/j/

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