I will present an overview of some explicit methods in the context of the Manin-Mumford and Mordell Conjecture. I will give several specific examples (done with R. Pengo or F. Veneziano) of families ...
We will introduce the Stolz sequence and explain how it plays a role in the study of metrics with positive scalar curvature. We shall then extend it to two different contexts: that of (G, F)-spaces, i...
Let X be a complete measure space of finite measure. The Lebesgue transform of an integrable function f on X encodes the collection of all the mean-values of f on all measurable subsets of X of (finit...
I will introduce the basic principles of the geometric approach to symmetric-key cryptanalysis, first from a general and then from a more concrete point of view. In the main part of the talk, I will s...
We study a branching annihilating random walk in which particles move on the discrete lattice in discrete generations. Each particle produces a poissonian number of offspring which independently move ...
Diversi cifrari a flusso di interesse applicativo, come Trivium ed E0 del Bluetooth, possono essere modellizzati come sistemi di equazioni (ordinarie esplicite) alle differenze a coefficienti e soluzi...
The conjecture of Singer on the cohomology of aspherical manifolds plays an important role in modern geometry, topology and geometric group theory. In this talk, I will give an overview of this proble...
We will investigate the effects of the lack of compactness in the critical Folland-Stein(-Sobolev) embedding in the Heisenberg group. In particular, by means of Γ-convergence techniques, we will show ...
We will introduce the Stolz sequence and explain how it plays a role in the study of metrics with positive scalar curvature. We shall then extend it to two different contexts: that of (G, F)-spaces, i...
Let h be a direct sum of n copies of a simple Lie algebra g. In 1994, Feigin, Frenkel, and Reshetikhin constructed a large commutative subalgbera of the enveloping algebra U(h). This subalgebra, whic...