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On the torsion and rational points of some families of curves

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 ...

The Stolz' positive scalar curvature sequence for G-proper manifolds and depth-1 pseudomanifolds

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...

On the Differentiation of Integrals in Measure Spaces Along Filters: II

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...

A geometric approach to symmetric-key cryptoanalysis

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...

Survival and complete convergence for a branching annihilating random walk

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 ...

Cifrari a flusso definiti da sistemi di equazioni alle differenze su campi finiti e loro crittanalisi

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...

An invitation to the Singer conjecture

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...

Asymptotic approach to singular solutions for the CR Yamabe equation

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 ...

The Stolz' positive scalar curvature sequence for G-proper manifolds and depth-1 pseudomanifolds

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...

A bi-Hamiltonian nature of the Gaudin algebras

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...
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