CORDIS Project
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This project focuses on counting algebraic curves and rational solutions to polynomial equations using new geometric techniques. It aims to combine existing methods to enhance understanding of Gromov-Witten invariants and their applications in various mathematical fields.
The PI has recently developed new techniques to understand the structure of the double ramification cycle, a geometric object playing a central role in the degeneration of curves and jacobians.
In this project we will use these tools and results to count algebraic curves in manifolds, and to count solutions in the rational numbers to polynomial equations.
Our counts of curves will be algebraic Gromov-Witten invariants, which play a role in diverse areas including physics (where they are one of t…
UNIVERSITEIT LEIDEN
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