We congratulate Gerd Faltings as the 2026 Abel Prize laureate! 🎉 He recives the Abel Prize "for introducing powerful tools in arithmetic geometry and resolving long-standing diophantine conjectures of Mordell and Lang".
Using the Gauss-Bonnet theorem for complex manifolds and the theory of Chern classes we can compute the Euler characteristic of some nontrivial spaces. We work this out here for the quintic hypersurface for illustration. #math#topology#geometry#calculus