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The SpiCE project explores enumerative geometry by studying spin curves and their associated cohomology classes. It aims to address two significant problems related to Frobenius manifolds and curve enumeration in complex surfaces, using a unified approach to advance understanding in these areas of mathematics.
Enumerative geometry aims at counting geometric objects that satisfy specific algebraic conditions.
The modern treatment of enumerative problems of curves has revealed deep connections between geometry, representation theory, and theoretical physics.
These connections are established through the cohomology of moduli spaces of curves.
The description of the structure of these cohomology groups is crucial in this modern perspective, and I will use spin curves to address this issue.
Spin curves are…
CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS
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