Globally kidney disease is forecast to be the 5th leading cause of death by 2040, and in the UK more than 3 million people are living with the most severe stages of chronic kidney disease. Chronic kidney disease is often due to autoimmune damage to the filtration units of the kidney, known as the glomeruli, which can occur in lupus, a disease which disproportionally affects women and people of non-white ethnicities, groups often underrepresented in research.
13:00
Optimal transport, Ricci curvature, and gravity compactifications
Abstract
In the talk, I will start by recalling some basics of optimal transport and how it can be used to define Ricci curvature lower bounds for singular spaces, in a synthetic sense. Then, I will present some joint work with De Luca-De Ponti and Tomasiello, where we show that some singular spaces, naturally showing up in gravity compactifications (namely, Dp-branes), enter the aforementioned setting of non-smooth spaces satisfying Ricci curvature lower bounds in a synthetic sense. Time permitting, I will discuss some applications to the Kaluza-Klein spectrum.