A relational structure is strongly indivisible if for every partition $M = X_0 \sqcup X_1$, the induced substructure on $X_0$ or $X_1$ is isomorphic to $M$. Cameron (1997) showed that a graph is stron...
The constructible derived category of P^n is equivalent to the bounded derived category of the principal block of the parabolic category O for sl(n), and to the bounded derived category of a certain s...
We present the construction of a new class of quantum vertex algebras associated with a normalized Yang R-matrix. They are obtained as Yangian deformations of certain S-commutative quantum vertex alge...
Hodge originally formulated his conjecture with integral coefficients. Atiyah and Hirzebruch showed in 1962 that it fails for torsion classes, and later Kollár produced non-torsion counterexamples. Si...
The continued fraction expansion of a real number is a very efficient tool for finding its best rational approximation. Moreover, continued fractions occur both in many theoretical questions in number...
In the study of close to integrable Hamiltonian PDEs, a fundamental question is to understand the behaviour of “typical” solutions. With this in mind it is natural to study the persistence of almost-p...
We will survey different approaches to the moduli theory of
foliations before presenting a new KSB approach to constructing moduli
spaces of foliations, which yields a proper moduli space for foliatio...
In this talk, I will present recent results on two-dimensional Bose gases with attractive interactions. More precisely, I will discuss the validity of Hartree theory, which states that the ground stat...
The closing meeting of the PRIN 2022JH87B4 project "High Order Structure-Preserving Semi-Implicit Schemes for Hyperbolic Equations" will be held in Sapienza University of Rome in November 12-14, 2025....
I will discuss a variant of the classical optimal transport dynamical problem, in which the entropy along the curve is minimized additionally to the kinetic energy.This results into a regularizat...
