Mathematics 267Z
Posets (110504)
Colin Defant2024 Fall (4 Credits)
Schedule: TR 1200 PM - 0115 PM
Instructor Permissions: None
Enrollment Cap: n/a
Posets (partially ordered sets) are fundamental objects in algebraic combinatorics. On the one hand, this course will cover important partial orders on objects of interest in algebra, combinatorics, and geometry; such objects include permutations, integer partitions, set partitions, lattice paths, rooted plane trees, elements of Coxeter groups, faces of polytopes, and regions of hyperplane arrangements. On the other hand, we will discuss posets in their own right in topological, dynamical, and algebraic contexts. Particular topics we will discuss include order complexes, shellability, poset dynamics, combinatorial billiards, lattice theory, Garside theory, and polytopality.
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