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Rigidity results for Serrin-type problems on annular domains

We characterize rotationally symmetric solutions to the Serrin problem on ring-shaped domains in $\mathbb R^n$ (n ≥ 3). Our proof relies on a comparison geometry argument. In particular, by taking adv...

Fully nonlinear elliptic PDEs in thin domains

I will describe the more recent developments starting from the results  contained in two joint works with I. Birindelli and  H. Ishii. In [1] we extend to fully nonlinear operators of the we...

Una Iris per non dimenticare Paola Mostosi, Ilaria Sula e tutte le altre donne vittime di violenza

Il Dipartimento di Matematica Guido Castelnuovo promuove, in occasione della Giornata internazionale contro la violenza maschile sulle donne, un’iniziativa di sensibilizzazione che si terrà giovedì 6 ...

Quivers with Polynomial Identities

Which quivers have a path algebra that is PI? What can we say about their T-ideal? And what happens if we add relations? In this talk, I will address these questions. This is joint work with Elena Pas...

Escher e Coxeter: sguardi complementari sulle simmetrie, tra arte e matematica

Nel seminario vedremo come alcune esigenze artistiche di Escher trovano la possibilità realizzarsi nel modello conforme del piano non euclideo. L'intuizione che guida Escher nella scoperta delle propr...

Controlling the zero-temperature Ising model using Markov decision theory

The behavior of the Ising model under external control mechanisms is of interest in a wide variety of applications, including biological systems, social dynamics, and information processing. In this t...

Einstein metrics: (non)-existence and rigidity questions

We use the Alexandrov moving plane method to prove radial symmetry of positive finite energy solutions of a quasilinear elliptic equation arising from the Poincare Sobolev inequality in the Hyperbolic...

Inclusions of Standard Subspaces

Abstract: Standard subspaces are closed real subspaces of a complex Hilbert space that appear naturally in Tomita–Takesaki modular theory and have many applications to quantum field theory. In this ta...

Construction and Reduction of the Lie infinity Algebra of Observables associated with a BV-Module

Multisymplectic manifolds generalize symplectic manifolds by featuring a closed nondegenerate differential form of degree higher than 2. Such structures are natural candidates for a geometric formaliz...

Collegare mente e macchine: apprendimento, memoria e adattamento dal cervello all’IA

L’iniziativa è organizzata dal gruppo “BrainJuice”, una rete di studenti e ricercatori attivi nella comunicazione e divulgazione scientifica nei campi delle neuroscienze e dell’intelligenza artificial...
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