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A categorical realization of the cut and flow lattices of graphs

Algebra & Discrete Mathematics

Speaker: Zsuzsanna Dancso, MSRI
Location: 1147 MSB
Start time: 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.