Decomposition of Complete 3-Manifolds of Positive Scalar Curvature with Quadratic Decay

Explore a 26-minute lecture by Teo Gil Moreno de Mora Sardà from Paris-Est Créteil-UAB on the "Decomposition of complete 3-manifolds of positive scalar curvature with quadratic decay." This presentation was part of the "Systolic and Diastolic Geometry" event held at IMPA (Instituto de Matemática Pura e Aplicada) in Rio de Janeiro. The event focused on comparing volumes of spaces with lengths/areas of curves/surfaces they contain, addressing fundamental problems in Geometric Analysis and Symplectic Geometry. The lecture was one of several short talks featuring international mathematicians discussing topics ranging from systolic inequalities to minimal surfaces. The content is presented in Portuguese with supporting materials available through the provided event links.