Sunday 16 March 2025 | ![]() |
Events for day: Thursday 05 August 2021 |
18:00 - 20:00 Commutative Algebra Webinar Algebraic Aspects of Polyominoes School MATHEMATICS Polyominoes are, roughly speaking, plane figures obtained by joining squares of equal size (cells) edge to edge. We establish a connection of polyominoes to commutative algebra by assigning to each polyomino its ideal of inner minors (also called Polyomino ideals). This class of ideals widely generalizes the ideal of 2-minors of a matrix of indeterminates, and even the ideal of 2-minors of twosided ladders. It also includes the meet-join ideal of planar distributive lattices. Typically one determines for such ideals their Grobner bases, determines their resolution and computes their regularity, checks whether the rings defined by them ... |