This is the third talk in the introductory series, following "Introduction to tropical
geometry" and "Refined tropical enumerative invariants". Floor diagrams is a
combinatorial tool introduced by Brugalle and Mikhalkin to solve tropical enumerative
questions and thus, by the correspondence theorem, classical questions in enumerative
algebraic geometry. We will describe Mikhalkin's so-called "lattice path algorithm"
and show how floor diagrams arise naturally from it. We then will show how floor
diagrams can be used to compute and analyze complex, real, and refined invariants we
saw in previous talks of the series. If time permits we will explore connections to
relative Gromov-Witten invariants and generalizations to the enumeration of tropical
hypersurfaces in higher dimensions.
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