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Chromatic Symmetric Functions of Dyck Paths and Q-Rook Theory

Fields Institute via YouTube

Overview

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Explore the intersection of combinatorial algebra and algebraic combinatorics in this 26-minute lecture from the CAAC 2022 conference. Delve into chromatic symmetric functions of Dyck paths and q-rook theory as presented by Laura Colmenarejo from NCSU. Learn about key concepts including the APA identity, q-rooks, deletion and contraction, and the q-rook identity. Gain insights into the notation used in combinatorial algebra and understand how these topics connect within the field.

Syllabus

Introduction
Chromatic symmetric functions
combinatorial algebra
notation
APA identity
Qrooks
Deletion and contraction
Qrook identity
Questions

Taught by

Fields Institute

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