Top-level heading

Classi di Brauer supersingolari in caratteristica positiva

Lo scopo di questo talk è di definire e studiare certe classi di Brauer in caratteristica positiva che si possono costruire dalle forme differenziali. Dopo aver spiegato la costruzione e le prime prop...

Math after Thesis - Ogni mercoledì

MATH talks - terza edizione a partire dal 5 marzo. Ogni mercoledì ore 13.15 Aula Picone ...

Towards unified synthetic curvature bounds for Riemannian and sub-Riemannian geometry

Abstract: The Lott-Sturm-Villani theory of CD(K, N) metric measure spaces satisfying Ricci curvature lower bounds in a synthetic sense via optimal transport, though extremely successful, has been show...

Towards unified synthetic curvature bounds for Riemannian and sub-Riemannian geometry

The Lott-Sturm-Villani theory of CD(K, N) metric measure spaces satisfying Ricci curvature lower bounds in a synthetic sense via optimal transport, though extremely successful, has been shown not to d...

Mixed operators in peridynamics

We present some recent results concerning elliptic and evolution problems driven by mixed operators, which are the sum of local and nonlocal ones under a peridynamical approach, as introduced by Silli...

Self-organizing equilibria in a Kuramoto mean field game

I will discuss a mean field game model on the synchronization of coupled oscillators, initially proposed by Yin, Mehta, Meyn, and Shanbhag, and recently examined by Carmona, Cormier, and Soner. This m...

Diffusion asymptotics of the Boltzmann multi-species equation through perturbation of hypocoercivity

I will discuss the rigorous derivation of hydrodynamic limits of the Boltzmann multi-species equation, for Mach and Knudsen numbers vanishing at the same rate. Solutions to the kinetic system are cons...

Chern character and groupoid-equivariant bivariant K-theory

Building on previous work by Davis and Lück, and recent constructions of bivariant K-theory as a stable \(\infty\)-category, I will sketch the construction of a Chern character running from groupoid-e...

Exponential PDEs in high dimensions

For a quasilinear equation involving the n−Laplacian and an exponential nonlinearity, I will discuss quantization issues for blow-up masses in the non-compact situation, where the exponential nonlinea...

Some results on Nash systems with several equations

Nash systems are strongly coupled systems of semilinar parabolic equations that describe closed-loop Nash equilibria in stochastic differential games. Despite existence, uniqueness and regularity for ...