Partitions in algebraic combinatorics
Time and place
12:30–1:30 PM on Thursday, June 22nd, 2023; MR 4
Robert Donley (Queensborough Community College)
Abstract
A partition of a positive integer n is a list of positive integers that sum to n. For instance, 8 = 3 + 2 + 2 + 1. Counting functions for partitions are of traditional interest and have wide applications in combinatorics, group theory, and physics.
In this talk, we consider several methods and techniques for counting, including generating functions, partial sums, Young diagrams, and path counting.