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...
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...
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...
We are interested in climate models introduced by Sellers in 1969 which takes the form of some nonlinear parabolic equation with a degenerate diffusion coefficient. We investigate here some inverse pr...
The YTD conjecture predicts that the existence of "canonical" Kähler metrics on a polarized projective manifold is governed by a purely algebro-geometric notion known as K-stability. Recently, solutio...
Controlling the quantum state of isolated or interacting correlated atoms has emerged as a promising research field in modern quantum information science. In particular, engineering methods for the hi...
