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Patrik Norén: Discrete Morse theory and tropical convexity

Time: Wed 2018-02-21 10.15 - 11.15

Location: Room 3418, Lindstedtsvägen 25. Department of Mathematics, KTH

Participating: Patrik Norén, Uppsala University

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Abstract

Tropical convexity has recently been used to prove results in commutative algebra. In particular it has been used to construct cellular resolutions of large classes of monomial ideals. In some important cases the classes of ideals have restrictions that are in some sense unnatural and it has been conjectured that the construction work in a larger setting where tropical methods will not work. We give two examples where discrete Morse theory can be used to prove the more general case.