We exhibit examples of slope-stable and modular vector bundles on a hyperkähler manifold of K3^[2]-type. These are obtained by performing standard linear algebra constructions on the examples studied ...
Centrality measures are fundamental in the study of complex networks, offering insights into the relative importance of nodes based on different connectivity patterns. In this talk, we address the pro...
According to the uniformisation theorem, in complex dimension one, there is an intimate connection between complex and hyperbolic structures. However, in higher dimensions, the two geometries diverge....
L'obiettivo di questo seminario sarà introdurre gli studenti alle tecniche moderne del calcolo delle variazioni, cercando anche di spiegare, per quanto possibile, cosa si intenda per teoria geometrica...
In this talk I present an abstract framework under which Morse theoretical methods can be applied to some non-compact variational problems by computing the difference of topology induced by "critical ...
I will discuss the distribution of low-lying zeros of \(L\)-functions in families of degree two, for which, thanks to good trace formulas, we are able to extend the unconditional support in the Katz-S...
Our search for a quantum theory of gravity is aided by a unique and perplexing feature of the classical theory: General Relativity already knows" about its own quantum states (the entropy of a black h...
We prove two types of inequalities for a foliation of general type on a smooth projective surface, the slope inequality and Noether inequality, both of which provide lower bounds on the volume \(\math...
There are finitely many rational points on a nice projective curve defined over the rationals of genus at least 2, but it is a difficult problem to explicitly determine these points. The quadratic Cha...
We consider the evolution of a two–dimensional liquid droplet on a solid substrate in the,presence of a contact point. At the liquid-solid interface we assume Navier slip. At the triple point we assum...
