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...
The volume entropy is a fundamental geometric invariant defined as the exponential growth rate of volumes of balls in the universal cover. It is a very subtle invariant which has attracted extensive s...
In this talk I will describe some gap estimates for ’even’ and self-dual AHE metrics in dimension four. Even AHE metrics naturally arise from a non-local variational problem, and there is an interesti...
In this paper we deal with pedestrian modeling, aiming at simulating crowd behavior in normal and emergency scenarios, including highly congested mass events. We will present two models: the first one...
Let \(X \subset \mathbb{P}^N\) be a smooth irreducible n-dimensional variety. A well-known conjecture predicts that \(X\) always carries an Ulrich vector bundle, that is a bundle \(\mathcal{E}\) such ...
Starting from the Weyl criterion for uniformly distrubuted sets of points, we introduce the discrepancy theory, focusing on some classical results by Roth, Davenport, Cassels and Montgomery. We conclu...
We present a numerical scheme for the solution of optimal control problems associated with production-destruction systems (PDS). We start by introducing these differential systems and their properties...