Tropical curves and the balancing condition

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• Emily Dodwell (Cambridge)
• Friday 28 November 2025, 16:00-17:00
• MR13.

If you have a question about this talk, please contact Xuanchun Lu.

The tropicalization of a subvariety of an algebraic torus is a polyhedral complex in R^n. There are naturally defined weights on the faces which satisfy a constraint called the balancing condition. We will discuss tropicalization for curves and how divisor relations on a toric variety lead to the balancing condition. We will then discuss a generalisation of the above setting by considering subvarieties of torus bundles. The usual balancing condition does not always hold but an analogue may be formulated.

This talk is part of the Junior Geometry Seminar series.

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