I will present the construction of a family of automorphisms of C^2having an invariant, non-recurrent Fatou component biholomorphic to C xC* and which is attracting, in the sense that all the orbits converge to a fixed point on the boundary of the…
Categoria evento: Seminars
A nonlocal isoperimetric problem with dipolar repulsion – Simon Thilo
We study a functional in which perimeter and regularized dipolar repulsion compete under a volume constraint. In contrast to previously studied similar problems, the nonlocal term contributes to the perimeter term to leading order for small…
Generalized Sadowsky Theory For Ribbons From Three-Dimensional Nonlinear Elasticity – Roberto Paroni (Universita’ di Pisa)
In the 1930s Sadowsky derived an asymptotic theory for narrow ribbons. We here provide a rigorous derivation of the generalized Sadowsky theory starting from nonlinear three-dimensional elasticity by means of Γ-convergence. On a technical level,…
Dynamics on translation surfaces: a (very very very) short survey – Mauro Artigiani (Centro De Giorgi)
Translation surfaces are surfaces which come naturally into play both from a dynamical motivation (billiards in polygons) and from a more algebro-geometrical point of view (they are related to the Teichmuller space). We will start with some…
Legendrian cobordisms – Maylis Limouzineau (Università di Colonia)
Our framework here is low dimensional topology, and the main protagonists areLegendrian submanifolds, i.e. those which remains obediently tangent to thecontact hyperplane distribution. We will see the subtleties brought by Legendrianknots in…
Il paradosso di Banach-Tarski – Alessandro Berarducci (Dipartimento di Matematica, Università di Pisa)
Il paradosso di Banach-Tarski…
A new gluing phenomenon for metrics of prescribed Q-curvature in dimension 6 – Luca Martinazzi (University of Basel)
Contrary to the Yamabe case, metric of prescribed Q-curvature (which we will briefly discuss) in dimension 4 and higher, can blow-up both on isolated points and on higher dimensional submanifolds, as discovered by Adimurthi, F. Robert and M. Struwe.…
Pretzel links, mutation, and the slice-ribbon conjecture – Paolo Aceto ( Rényi Institute (Budapest) )
We show that the mutant 2-component pretzel links P(p,q,-q,-p) and P(p,q,-p,-q) are not concordant for any distinct odd integers p and q greater than 1. As a corollary, we obtain a proof of the slice-ribbon conjecture for 4-stranded 2-component…
Complex projective structures and Hilbert’s XXI problem – Lorenzo Ruffoni (Università di Bologna)
Complex projective structures are geometric structures locally modelled on the geometry of the Riemann sphere with its group of Möbius transformations PSL(2,C). As this space appears as a natural boundary at infinity for the hyperbolic space, a…
Il teorema del passo montano – Marco Gipo Ghimenti (Dipartimento di Matematica, Università di Pisa)
Il teorema del passo montano…