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…
Eventi
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…
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…