Speaker
Cristofero Fraser-Taliente
Description
We use Wall's theorem to find bounds on the number of Calabi-Yau manifolds in the Kreuzer-Skarke list for small Picard number. Lower bounds are found using polynomial invariant theory, as well as some further invariants descending from the integral nature of the topological data. A range of computational techniques can then be applied to find explicit isomorphisms between realisations, and these give complementary upper bounds.
