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Counting (tropical) curves

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KAH2 - K-theory, algebraic cycles and motivic homotopy theory

Tropical curves are piecewise linear analogues of algebraic curves that share many of their properties. The tropical correspondence theorem of Mikhalkin and Nishinou-Siebert states that rational plane curves through general points can be counted tropically. Another natural enumerative problem is the count (relative/log GW invariant) of plane curves intersecting a fixed elliptic curve in exactly one (unspecified) point. In this talk I will explain the tropical analogue of this counting problem.

This talk is part of the Isaac Newton Institute Seminar Series series.

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