### Statistical properties of dynamical systems: invariant measures, mixing and decay of correlations – Roberto Castorrini (Università di Pisa)

It is well known (is it?) that many dynamical systems arising from physical or chemical models exhibit what is probably…

### A family of threefolds with remarkable properties (namely: the unreasonable effectiveness of the Schoens) – Antonella Grassi (Università degli Studi di Bologna)

The fiber product of certain rational elliptic surfaces were first studied by Schoen in the 80s to answer questions from string theory. Over the decades the “Schoens” have provided evidence for various conjectures as well as counterexamples to…

### Mixing properties of erasing interval maps – Alessandro Della Corte (Università di Camerino)

We study the measurable dynamical properties of the interval map generated by the model-case erasing substitution $\rho$, defined by: $ \rho(00) = empty word$; $\rho(01) = 1$; $\rho(10) = 0$; $\rho(11) = 01$. We prove that, although the map is…

### The Complexity of Higher Chow Groups – James Lewis (University of Alberta)

Let $X/{\mathbb C}$ be a smooth projective variety. We consider two integral invariants, one of which is the level of the Hodge cohomology algebra $H^*(X,{\mathbb C})$ and the other involving the complexity of the higher Chow groups ${\rm…

### On the classification problem of countable abelian groups – Martino Lupini (Università di Bologna)

I will present the framework of Borel-definable homological algebra, where classical constructions and invariants from homological algebra are enriched with additional information of descriptive set-theoretic nature. I will then explain how this…

### Some remarks on the component group of the Sato-Tate group – Victoria Cantoral Farfán (Georg-August-Universität Göttingen)

The famous Sato-Tate conjecture for elliptic curves defined over a number field (without complex multiplication) predicts the equidistribution of Frobenius…