BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

Skeletons of Spaces of Maps and Superabundant Geometries Ranganathan, Dhruv


I will discuss a unified approach to tropicalizing moduli spaces of logarithmic stable maps to arbitrary logarithmically smooth targets using the geometry of Artin-Olsson fans. I will pay particular attention to superabundant case, exploring the relationship between obstructedness of logarithmic maps and the tropical realizability question. Some relatively transparent consequences of the framework include a new perspective on Speyer's well-spacedness condition, polyhedrality of the tropical realizability cycle, and a version of Murphy's Law for lifting problems for lifting tropical curves.

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