Optimal Transportation and Applications
timetable:
Thu 27 Oct, 9:45 - 10:30, Aula Magna Bruno Pontecorvo
<< Go back
course: Timelike Ricci bounds and Einstein's theory of gravity in a non smooth setting
speaker: Andrea Mondino (Mathematical Institute, University of Oxford)abstract: After recalling the general setting of Lorentzian synthetic spaces (including important examples fitting the framework), I will discuss some basics of optimal transport theory thereof in order to define "timelike Ricci curvature and dimension bounds" for a possibly non-smooth Lorentzian space. Some cases of such bounds have remarkable physical interpretations (like the attractive nature of gravity) and can be used to give a characterisation of the Einstein's equations for a non-smooth space. Based partly on joint work with S. Suhr and partly on joint work with F. Cavalletti.
timetable:
Thu 27 Oct, 9:45 - 10:30, Aula Magna Bruno Pontecorvo
<< Go back