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Flow lattices and Koszul algebras

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No logo availableBanff International Research Station (BIRS) for Mathematical Innovation and Discovery
 Dancso, Zsuzsanna

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Flow lattices and Koszul algebras
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12
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CC Attribution - NonCommercial - NoDerivatives 4.0 International:
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We define "q-cut" and "q-flow" lattices associated to a finite graph, arising from a categorification construction for the lattices of integer cuts and flows (which we'll introduce in the talk). We'll describe combinatorial properties of these invariants, including categorified/q-versions of some classical theorems in graph theory. Based on joint work with Tony Licata.