Đorđe Baralić from the Mathematical Institute SANU, Belgrade will give a live talk on Friday, October 21 at 15 pm in Seminar Room 201.
If you would like to attend, please email to firstname.lastname@example.org.
Title: “Simplicial complexes of polyomino tilings“
Polyomino shape is a union of unit squares connected edge by edge. In
mathematical physics, they are also known as animals in the grid. We
define a simplicial complex for a given set of polyomino shapes and a
given subset of the square grid in a plane or on a torus. The topological
and combinatorial properties of the complex are exciting. They reveal many
features of placements of tiles from the given set into the given subset
of the grid without overlappings. We will prove that these complexes have
high connectivity and that, in some cases, they have the homotopy type of
wedge of spheres. Some of their unexpected applications will be discussed.