La matematica a Roma raggiunge il suo massimo sviluppo nei primi anni '20 del Novecento, quando viene variamente definita La Princeton degli anni '20 (Lefschetz) e Il Paradiso della geometria (Zariski...
Supersymmetric nonlinear sigma models arise in the theory of disordered systems and share key features with O(N)-type models. They also exhibit surprising connections with probabilistic models such as...
The Weyl energy on four-manifolds is a geometric functional related
to the Chern-Gauss-Bonnet formula. Similarly to Willmore’s functional
for surfaces embedded in the three-dimensional Euclidean spa...
In Kähler geometry, the Calabi-Yau theorem establishes the existence and uniqueness of Kähler metrics with prescribed volume form. In this talk, I will present a non-Archimedean version of this theore...
La storia della matematica a Roma, dall'Unità di Italia sino al termine della Prima Guerra Mondiale, è strettamente legata alla vita politica, sociale e culturale del Paese. Le sue vicende restituis...
In this talk, I will give a gentle introduction to the theory of motives, as developed by Voevodsky. I will focus on the basic ideas and main properties, explaining how motives are related to algebrai...
The Dirac equation is one of the fundamental equations in relativistic quantum mechanics, widely used in a large number of applications from physics to quantum chemistry. From the dynamical point of v...
Vertex algebras are a notoriously hard topic to introduce. Their axioms are complicated and the formalism (which comes from CFTs) is written in terms of objects, like quantum fields, that can feel unf...
I will present a recent result that establishes a form of Ohm's law for the quantum Hall current in models of interacting fermions on a lattice at zero temperature. I will focus on two novel aspects: ...
L’articolo di Einstein, Podolsky e Rosen (EPR) del 1935 è stato di fondamentale importanza sia per il dibattito sui fondamenti della Meccanica Quantistica e sia per il concreto sviluppo della teoria e...
Koszul duality is a fundamental phenomenon in mathematics. In its original form, it gives a derived equivalence between the module category of a Koszul algebra A and its Koszul dual A!. Koszul algebra...
La trasformata di Fourier trasforma funzioni periodiche nella serie delle sue frequenze, chiamata serie di Fourier. Algebricamente si può generalizzare la trasformata per decomporre i moduli, su anell...
