Top-level heading

Prescribing scalar curvature in conformal geometry, IV

We will consider the classical problem, proposed by Kazdan and Warner in the 70’s, of prescribing the scalar curvature of a Riemannian manifold via conformal deformations of the metric. This amounts t...

Scalar curvature and the Dirac operator, I

Building on the introduction to spin geometry taught by Bernhard Hanke, I will use spinorial methods to investigate manifolds whose scalar curvature satisfies restrictions. Scalar curvature contains m...

Scalar curvature and the Dirac operator, II

Building on the introduction to spin geometry taught by Bernhard Hanke, I will use spinorial methods to investigate manifolds whose scalar curvature satisfies restrictions. Scalar curvature contains m...

Scalar curvature and the Dirac operator, III

Building on the introduction to spin geometry taught by Bernhard Hanke, I will use spinorial methods to investigate manifolds whose scalar curvature satisfies restrictions. Scalar curvature contains m...

Scalar curvature and the Dirac operator, IV

Building on the introduction to spin geometry taught by Bernhard Hanke, I will use spinorial methods to investigate manifolds whose scalar curvature satisfies restrictions. Scalar curvature contains m...

Multiplicative Relations Among Differences of Singular Moduli

A singular modulus is the j-invariant of an elliptic curve with complex multiplication; as such the arithmetic and algebraic properties of these numbers are of great interest. In particular, there are...

Normal form and dynamics of the Kirchhoff equation

In this talk I will present some recent results on the Kirchhoff equation of nonlinear elasticity, describing transversal oscillations of strings and plates, with periodic boundary conditions. We are...

The Kuramoto Model in Random Geometric Graphs

The Kuramoto model is a nonlinear system of ODEs that represents the behavior of coupled oscillators. The coupling is determined by a given graph and pushes the system towards synchronization. An impo...

On Griffiths' conjecture about the positivity of Chern–Weil forms

In the last years there has been a renewed interest around a long-standing conjecture by Griffiths characterizing which should be the positive characteristic forms for any Griffiths positive vector bu...

Symmetry and monotonicity results in the context of semilinear problems involving singular nonlinearities.

I shall consider elliptic problems addressing the study of the geometric properties of the solutions. This issue is in general related to the classification of the solutions or to Liouville type theor...
Iscriviti a a.a. 2024-2025