Using subbundles as decorated data, we can explicitly describe the moduli spaces of bundles, Higgs bundles and holomorphic connections in rank-2 cases. The symplectic structures and natural stratification on these moduli spaces are also naturally encoded. As an application, we can describe components of the wobbly loci in terms of zeroes of quadratic differentials.

Día

Martes, 16 de outubro de 2024

Lugar

Aula 10
Facultade de Matemáticas