I will first explain the Kato class on the Euclidean space and on Riemannian manifold. Then I will explain some consequences for complete Riemannian manifold whose Ricci curvature in the Kato class. T...
I will first explain the Kato class on the Euclidean space and on Riemannian manifold. Then I will explain some consequences for complete Riemannian manifold whose Ricci curvature in the Kato class. T...
I will first explain the Kato class on the Euclidean space and on Riemannian manifold. Then I will explain some consequences for complete Riemannian manifold whose Ricci curvature in the Kato class. T...
In 1998, Thomas Schick discovered a purely homological obstruction to the existence of positive scalar curvature metrics on oriented closed smooth manifolds in terms of torality properties of their fu...
The Torelli locus - the image of the moduli space of curves (M_g) in the moduli space of abelian varieties (A_g) - is much-studied but still mysterious. In characteristic p, A_g has a beautiful strati...
The aim of this talk is to show the connections between Liouville type equations and the conformal geometry of Riemann surfaces. In particular, we will focus on an isoperimetric inequality, the socall...
We consider deterministic, time-reversible dynamics with random initial data, in a low-density scaling. Under suitable assumptions on the initial measure, a strong chaos prop- erty is propagated in ti...
In this talk we consider inverse problems for the partial differential equations describing the behavior of certain fluids. Our focus will be on the fluid-structure interaction problem and the object...
Effective feedback control is essential for optimizing dynamical systems by minimizing a predefined cost function, thereby stabilizing the system toward a desired state. Despite its proven effectivene...
Dynamical Galois groups are constructed by iterating a rational function over a field \(K\) and looking at the tower of preimages of a fixed point of \(P^1\). A couple of years ago, Andrews and Petsch...
