Goal: To provide an insight into the theory of geometric inequalities on flat and curved settings.
Course description: Several mathematical problem can be reduced to the study of geometric inequalities where the curvature of the space plays a crucial role. During the course we provide a quite complete picture about this theory, showing both theoretical aspects and specific applications by using optimal mass transport arguments, symmetrisation, etc.
https://nik.uni-obuda.hu/targyleirasok/wp-content/uploads/2021/02/KS_NAMGI1PMNE_Geom_ineq_2021_2.pdf