MATH AMSUD project: SGP 24-MATH-12 – 2025 & 2026


Abstract: This project is a collaboration among six countries to advance the study of geometric structures on differentiable manifolds, moduli space geometry, algebraic geometry and topology, and their connections with mathematical physics, especially quantum mechanics and general relativity. In the field of differential geometry, our project will concentrate on studying homogeneous geometric structures on homogeneous manifolds. This will include a focus on (locally conformally) Kähler manifolds and their odd-dimensional counterparts, Sasakian spaces. Additionally, we plan to investigate Calabi-Yau manifolds with torsion, particularly examining their analytical properties in relation to heat flows. Our contributions to mathematical physics will be centered around supermembrane theories and super-gravities, and their interactions with algebraic geometry and topology. Through this project, we aim to advance these areas of study, contributing to the broader fields of Geometry, Topology, and Mathematical Physics, in line with current research trends.

Global coordinator: Viviana del Barco (delbarc at unicamp.br)

Local coordinators:


Full list of participants: See table


Expected activities: See table


Expected member mobilities 2025: See table


Expected member mobilities 2026: See table


Acceptance letter


Important information / Formal documents (to be updated):