ERC Consolidator Grant · 2023
SinGular Monge-Ampère equations
This project is driven by M-theory, String theory in theoretical physics and the Minimal Model Problem in algebraic geometry. We study singular Kähler spaces with a focus on their special structures (of a differential geometry nature) and their interaction with various areas of analysis. To be more specific, we search for special (singular) Kähler metrics with nice curvature properties, such as Kähler-Einstein (KE) or constant scalar curvature (cscK) metrics. The problem of the existence of these metrics can be reformulated in terms of a Monge-Ampère equation, which is a non-linear partial differential equation (PDE). The KE case has been settled by Aubin, Yau (solving the Calabi…
From the public funding record at EU CORDIS. Describes the funded project, not the reviews below.