Many theorems in combinatorics share a very similar structure: Let $M$ be monoid acting by endomorphism on a partial semigroup $S$. For each finite coloring of $S$, there are “nice” monochromatic subsets $N\subseteq S$. Examples of theorems of…
Eventi
Integral Simplicial Volume and Delta Complexity: find the differences – Federica Bertolotti (SNS Pisa)
Integral Simplicial Volume and Delta Complexity are invariants that try to capture the complexity of manifolds in terms of simplices…
Mixing of simple symmetric random walks on the circle – Klaudiusz Czudek (IST, Austria)
Fix an irrational number $\alpha$ and a smooth, positive, real function $p$ on the circle. A particle at a point $x$ in the circle jumps to $x+\alpha$ with probability $p(x)$ or to $x−\alpha$ with probability $1−p(x)$. In 1999 Sinai investigated…
Vanishing viscosity limit for the Navier-Stokes system and its related topics – Taiki Takeuchi (Waseda University)
In this talk, we introduce the Navier-Stokes system and the Euler system, which are mathematical models of fluid dynamics. After…
Circle packings in teoria dei grafi – Nikita Deniskin (SNS Pisa)
Dato un grafo, come si può partizionare in due pezzi “grossi”, tagliando il minor numero di archi possibile? La divisione…
Transport of currents – Filip Rindler (University of Warwick)
The transport of singular structures, such as vortex lines/sheets in fluids, topological singularities in magnetism, or dislocation lines in plastic…
Torsion function on character variety, divisor and multiplicity – Léo Bénard (Georg-August Universität Göttingen)
Reidemeister torsion is a combinatorial invariant, famous among other things for distinguishing finite quotients of the sphere S^3, the lenticular…
Shrinking-Target Problems and the Injectivity Radius Function – Reynold Fregoli (UZH)
In this talk, I will discuss a shrinking target problem in the space of uni-modular lattices, with target located at infinity and shrinking neighbourhoods determined by the injectivity radius function. This problem is connected to a large body of…
Moduli of Higgs bundles and Hecke operators on surfaces – Olivier Schiffmann (CNRS and Université de Paris-Saclay)
We will introduce and describe an algebra $H(S)$ acting on the cohomology of various moduli spaces of sheaves on a smooth complex surface $S$. We will provide some application to a generalization of Markman’s theorem in the semistable (as opposed to…
On the Laplacian perturbed with inverse square potential: the domain of its closure and of its square – Mario Rastrelli (Università di Pisa)
In this talk, we want to give an explicit and easy characterization of the domain of the operator $A_\beta=-\Delta+\frac{\beta}{|x|^2}$ and of its square.…