In a recent paper, we study the long--time behavior and the stability of the surface diffusion flow of smooth hypersurfaces in the flat torus \(\mathbb T^n\). According to this flow, smooth hypersurfa...
Operads are algebraic structures capturing multi-ary operations. The little disks operads, encoding operations on iterated loop spaces, are fundamental examples. Voronov introduced Swiss-Cheese operad...
:We review various notions of self-similar fractal compact sets such as Hutchinson’s, Kigami’s or Kamiyama’s, and see which way most of them can be reached through an inceasing sequence of approximati...
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...
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 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...
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...
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 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...
The classical Courant's nodal domain theorem states that the n-th eigenfunction of the Laplacian on a compact manifold has at most n nodal domains. The same holds for Steklov eigenfunctions on a compa...
