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Enumeration of curves in abelian surfaces

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If you have a question about this talk, please contact Dhruv Ranganathan.

Tropical geometry is a powerful tool that allows one to compute enumerative algebraic invariants through the use of some correspondence theorem, transforming an algebraic problem into a combinatorial problem. Moreover, the tropical approach also allows one to twist definitions to introduce mysterious refined invariants, obtained by counting tropical curves with polynomial multiplicities. So far, this correspondence has mainly been implemented in toric varieties. In this talk we will study enumeration of curves in abelian surfaces and line bundles over an elliptic curve.

This talk is part of the Algebraic Geometry Seminar series.

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Cambridge Graphene Centre, 9 JJ Thomson Avenue, Cambridge CB3 OFA, UK The Moller Centre, Storey's Way, Cambridge Lecture Theatre 6, Baker Building, Department of Engineering

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