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Yamabe metrics on conical manifolds

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...

Cohomogeneity one minimal hypersurfaces

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...

Codimension 4 under Kato condition

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 rigidities for RCD spaces

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...

Some rigidity results for asymptotically hyperbolic Einstein metrics

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...

Microscopic and macroscopic models for pedestrian flow with variable maximal density

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...

Ulrich subvarieties and a lower bound on the Ulrich complexity of complete intersections

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 ...

Irregularities of distribution and discrepancy theory: from Weyl up to nowadays

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...

A modified-Patankar semi-Lagrangian scheme for the control of production-destruction systems

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...
Iscriviti a 2024