News

Site news

Jan 18, 2024

Pau Mir Garcia defended his thesis co-supervised by Eva Miranda on January 16 at the FME. Entitled "Singularities and symmetries on the crossroads of geometry and physics", the thesis presents the study of several mathematical objects that are essential for formulating and modeling physical systems. Through tools provided by differential geometry, this thesis develops and analyzes different mathematical structures that are used in three physical contexts: dissipative dynamics, integrable systems and geometric quantization. To do this, we mainly use the framework of b-symplectic geometry, a natural extension of symplectic geometry especially suitable for bounded manifolds, based on the concept of differential b-forms.