We shall go through recent results on Diophantine equations with random coefficients. At the end i will talk about upcoming work with Christopher Frei in which we prove that admissible conic bundles h...
Proseguiremo la discussione della congettura del cono per le varietà di Calabi–Yau in dimensione superiore. Questa scuola è parte dei progetti del Dipartimento di Eccellenza CUP B83C23001390001 ed è ...
The Jacquet-Langlands correspondence relates modular forms for GL2 and for its inner forms, i.e. for unit groups of quaternion algebras, and was historically the first known example of Langlands trans...
A disordered quantum system is mathematically described by a large Hermitian random matrix. One of the most remarkable phenomena expected to occur in such systems is a localization-delocalization tran...
I will introduce Lp spectral triples and give an overview of their properties. I will also discuss spectral triple isometries.
On a different note, I will introduce twisted crossed products of Lp and ...
Il 25 dicembre del 1640, tra un biglietto di auguri e l’altro, Marin Mersenne se ne vede recapitare uno che recita: “Un primo p si può scrivere come somma di due quadrati se e solo se p è congruo a 1 ...
We consider a spin in contact with a bosonic reservoir, whose state contains a parameter interpolating between quantum and classical reservoir features. For energy conserving interactions we study dec...
The moduli space $A_g$ of complex principally polarized Abelian varieties of dimension $g$ is an irreducible quasi-projective variety, which, for $g>1$, is neither affine nor projective.
One can me...
On the faith of Proclos, older general histories of mathematics (and many rather recent) tell us that Greek theoretical geometry was created by Thales and/or Pythagoras. Comparison with what Proclos's...
È ben noto grazie a un lavoro di Ein del 1988 che le intersezioni complete molto generali di multigrado $(d_1,\dots, d_c)$ nello spazio proiettivo di dimensione $n$ non contengono curve razionali non ...
