Nel contesto del dibattito sull'innovazione della didattica nella scuola, una iniziativa che si è distinta per capacità di incidere sulla pratica didattica curricolare e per la sua diffusione al livel...
In this talk I will describe the normal stable surfaces with K2=2pg−3 whose only non canonical singularity is a cyclic quotient singularity of type 14k(1,2k−1) and the corresponding locus DD inside th...
The goal of the talk is proving a conjecture of Claude Roger about the universal central extension of the Lie algebra of volume-preserving vector fields. In the beginning we will briefly review the no...
How do we recognize faces? How do we divide people into groups if they are not all friends with each other? How do magnets work? Introduced back in 1982 as a neural network realization of an associati...
We study the evolution in time of smooth sets in the n–dimensional flat torus, such that their boundaries, which are smooth hypersurfaces, move by surface diffusion flow (i.e. the H−1H−1 gradient flow...
We present recent results on the local in time well-posedness of stochastic thin-film equations driven by Gaussian noise, which is white in time and colored in space, with strictly positive initial da...
I plan to give a rather detailed account of some of the ideas and techniques behind recent results showing that fibered CY varieties are bounded, starting from the elliptic case and then moving to the...
In various physical settings where relativistic effects cannot be neglected, the Dirac operator naturally replaces the Schrödinger operator, introducing additional spectral challenges. As a result, th...
We study the adiabatic response of open systems governed by Lindblad evolutions (or Gorini-Kossakowski-Sudarshan) and hence affected by some form of friction. In particular, we present the analog of t...
Persistent homology, a popular method in Topological Data Analysis, encodes geometric information of data into algebraic objects called persistence modules. Invoking a decomposition theorem, these alg...
