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…
Categoria evento: Seminars
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…
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…
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.…
Introduction to logarithmic geometry – Qiangru Kuang (SISSA Trieste)
A common theme in algebraic geometry is degeneration: we consider a family of smooth spaces which degenerates into a singular…
Planar aggregation with subcritical fluctuations and the Hastings-Levitov models – Vittoria Silvestri (Università di Roma La Sapienza)
The ALE (Aggregate Loewner Evolution) models describe growing random clusters on the complex plane, built by iterated composition of random…