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Algebraic discrete Morse theory

SPEAKER: Jacob Jonsson

TITLE: Algebraic discrete Morse theory

ABSTRACT Robin Forman introduced a discrete version of Morse theory to provide a tool for examining the topology of cell complexes. I will discuss this theory from an algebraic viewpoint and apply the theory to compute the homology of certain tensor products of chain complexes equipped with involutory automorphisms. These tensor products arose in joint work with Axel Hultman on certain objects in tropical geometry.