La classe di Selberg è un modello analitico assiomatico per le funzioni L; la panoramica presenterà le congetture e i risultati principali, in particolare relativi ai twist non-lineari e alle loro app...
The known results about the stable irrationality of very general smooth Fano complete intersections $X^n\subset\mathbb P^{n+c}$ of dimension $n\geq 3$ and fixed type $(d_1,\ldots, d_c)$ pose the nat...
Abstract: Classical constructions of gauge-invariant quantities, like Wilson loops, are too singular as candidates for quantum observables. We present a new construction of more regular operators (slo...
Through a series of examples (all involving at most $3\times 3$
matrices, as with bigger groups it is clearly impossible to do a correct
computation on the board), we illustrate some of the pathologie...
I shall give a brief introduction in LCK geometry, then focus on the existence of a minimal model for a certain subclass. If time permits, I shall discuss other bimeromorphic properties too....
We consider positive, semi-stable solutions of −Delta u = f(u) on domains of the model spaces of constant curvature. We provide geometric conditions on the domains guaranteeing the uniqueness and the ...
Odaka proposed the K-moduli conjecture in 2010, predicting the existence of a moduli space of K-polystable objects with an ample CM line bundle. While this conjecture has been solved in the Fano case,...
In this talk, we will discuss the classical Ornstein-Zernike theory for the random-cluster model (also known as FK percolation). In its modern form, it is a very robust theory, which most celebrated o...
