A categorical realization of the cut and flow lattices of graphsAlgebra & Discrete Mathematics
|Zsuzsanna Dancso, MSRI
|Mon, Dec 1 2014, 1:10PM
I will introduce some fundamental concepts of lattice theory and explain why we expect them to appear naturally on a homological algebra level. We will discuss the example of the cut and flow lattices of a graph, and a categorical realization which serves as an example for lifting lattice theoretic concepts as mentioned above. We end with a number of open questions and possible applications. Joint work with Anthony Licata.