Le superoscillazioni sono un fenomeno che nasce dalla teoria dei misuramenti deboli di Aharonov ma che trovano inaspettate applicazioni in microscopia (superrisoluzione) ed in teoria dei numeri. Da un...
The aim of this course is to introduce the Yang–Baxter equation, and how it arises as a sufficient condition for solvability of the lattice models of statistical mechanics. The related algebras of sym...
The Langlands program is a set of conjectures, proved in special cases, about profound connections between different areas of mathematics. One of them being the theory of automorphic forms. I will giv...
The quantum Hall effect (QHE) refers to the fact that the Hall conductance of a two-dimensional electron gas takes on only quantised values, i.e. integer (or fractional) multiples of e^2/h. First disc...
The aim of this talk is to provide an overview of recent results, obtained jointly with Graziano Crasta and Virginia De Cicco, regarding the chain rule for the distributional divergence of composite f...
The quantum Hall effect (QHE) refers to the fact that the Hall conductance of a two-dimensional electron gas takes on only quantised values, i.e. integer (or fractional) multiples of e^2/h. First disc...
Parabolic Kazhdan-Lusztig polynomials are ubiquitous across
representation theory, geometry, and Lie theory. This raises two
questions: can the (often strictly combinatorial) methods used to
compute t...
The homotopy groups of CW complexes and of the mapping spaces between them are notoriously difficult to compute. However, if one disregards torsion, rational homotopy theory becomes very effective and...
I will first recall Horikawa's description of surfaces with $K^2=2p_g - 4$ and $K^2 = 2p_g -3$ and their moduli spaces. Then I will describe some divisors contained in the closure of the moduli space ...
Fano threefolds of higher Picard rank and singular
Fano threefolds.
This school is part of the activities of the Dipartimento di Eccellenza CUP B83C23001390001 and it is funded by the European Union –...
