In this talk I will discuss K-stability of weighted Fano hypersurfaces of dimension $n\geq 3$. The $3$-fold case has been established by [Kim-Okada-Won], [Sano-Tasin], [Campo-Okada]. In a joint work w...
Deterministic particle approximations are one of the possible ways to construct solutions to scalar conservation laws, to nonlinear diffusion equations, and to some Wasserstein gradient flows. Despite...
Recently, there have been substantial advancements in our understanding of the long-time dynamics of plasmas, in particular the Vlasov-Poisson and Vlasov-Maxwell systems, as well as other related syst...
In recent years, the work of Druel, Guenancia, Greb, Kebekus, Höring, and Peternell has shown that an analogue of the Beauville–Bogomolov (BB) decomposition holds for K-trivial varieties with klt sing...
The bounded derived category of coherent sheaves on a smooth projective variety $X$ is a sensible and somewhat subtle invariant of $X$. Its study is tightly related to rationality problems, MMP, Mirro...
In the theoretical physics community there has been recently an increasing interest towards the analysis and computation of information theoretic quantities in quantum field theory, sparked by their a...
We consider a two-dimensional incompressible inviscid fluid with variable density, under the action of gravity. We assume that the equilibrium density profile is stable, and we consider the so-called ...
This seminar addresses the existence and optimal global regularity of solutions for homogeneous Dirichlet problems involving the 1-Laplacian operator and singular lower-order terms. The motivation for...
In this talk, I will discuss qualitative properties of solutions to the
Lane–Emden equation, with particular emphasis on the uniqueness of
radial solutions in annular domains for a fully nonlinear ver...
We consider the critical Neumann problem in cones. We prove that the standard bubbles, which are the only radial solutions, become unstable for a class of nonconvex cones, which is defined through the...
Let F be a field. A basic way to study a Brauer class over F is through its splitting fields: field extensions of F over which the class becomes trivial. In this lecture, I will discuss a question of ...
