ERC Consolidator Grant · 2024
Enumerative and Arithmetic Geometry of Logarithmic curves
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 the two faces of mirror symmetry) and integrable systems (where their generating functions solve important hierarchies of PDEs). The strongest techniques currently available to understand…
From the public funding record at EU CORDIS. Describes the funded project, not the reviews below.