We will study the behaviour of lower scalar curvature bounds under local deformations of the underlying Riemannian metrics. A major application is the preservation of positive scalar curvature metrics...
We will survey developments in the minimal model program for Mgbar over the last 15 years. After summarizing various strategies to determine moduli interpretations of the log canonical models of Mgba...
In the recent work arXiv:2303.17190v2, G. Höhn and S. Möller propose a classification of vertex operator superalgebras (VOSAs) with central charge at most 24 and with trivial representation theory. VO...
I will explain a certain topological construction of positive scalar curvature metrics with uniformly Euclidean \(L^{\infty}\) point singularities. This provides counterexamples to a conjecture of Sch...
In Special Relativity, the vanishing of mass occurs exclusively in the cases of vacuum and radiation. In this talk, we demonstrate that an analogous result holds within the framework of General Relati...
The concept of mass for time-symmetric initial data has been extensively explored and is now a cornerstone in the study of contemporary Mathematical General Relativity, especially in relation to space...
With Alix Deruelle, we explain how Ricci flow develops or resolves 4-dimensional orbifold singularities by a notion of stability depending only on the curvature at the singular points. We construct a ...
We prove existence of Yamabe metrics on singular manifolds with conical points and conical links of Einstein type that include orbifold structures. We deal with metrics of generic type and derive a co...
I will first discuss the pioneering work of Hsiang and Hsiang–Lawson on the construction of minimal sub-manifolds using equivariant geometry, and then some extensions of their theory including new exi...
It is a jointwork with I. Mondello (Creteil) and D. Tewodrose (Bruxelles). J. Cheeger and A. Naber have shown that if \((X, d)\) is a Gromov-Hausdorff limit of a sequence of complete Riemannian manifo...
