### Alternating Sign Matrices and Plane Partitions

Combinatorics Seminar

11th October 2022, 11:00 am – 12:00 pm

Fry Building, 2.04

Alternating sign matrices are square matrices with entries in the set {0,1,-1}, where non-zero entries alternate in sign along rows and columns, with all row and column sums being 1. Plane partitions are 3-D generalizations of ordinary integer partitions. I will discuss some questions that are central to the theme of ASMs, mainly dealing with their enumeration and explore their connections with plane partitions.

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