In my lecture I will illustrate a recent work (in collaboration with J.Bourgain, H.Brezis, A.Figalli) on the characterization of the perimeter and of sets of finite perimeter in terms of a BMO-like seminorm, solving positively a question raised in a…
Categoria evento: Seminars
Elimination of cusps in dimension 4 and its applications – Stefan Behrens (Alfréd Rényi Institute, Budapest)
In recent years, low dimensional topologists have become interested in the study of “generic” smooth maps to surfaces. The approach is similar to Morse theory, only with two dimensional target. In this talk, I will discuss a specific problem in the…
Low density phases in a uniformly charged liquid – Matteo Novaga (Università di Pisa)
This talk is concerned with the macroscopic behavior of global energy minimizers in the three-dimensional sharp interface Ohta-Kawasaki model of diblock copolymer melts. We are interested in the large volume behavior of minimizers in the low volume…
A dynamical characterization of algebraicity for isomonodromic deformations. – Gael Cousin (Università di Pisa)
Our study concerns isomonodromic deformations of logarithmic connections of arbitrary rank on the Riemann sphere. We will explain how we can translate the algebraicity of the universal isomonodromic deformation in terms of the monodromy…
Plane cuspidal curves and Heegaard Floer homology – Marco Golla (Unversità di Pisa)
In this talk, I will focus on applications of Heegaard Floer homology to the study of genus-g plane curves in CP^2, with one cuspidal singularity: I will discuss bounds on the semigroup counting function of the singularity and show their…
On the Dolbeault cohomological dimension of the moduli space of Riemann surfaces – Gabriele Mondello (Università di Roma)
The moduli space $M_g$ of Riemann surfaces of genus g is (up to a finite étale cover) a complex manifold and so it makes sense to speak of its Dolbeault cohomological dimension (i.e. the highest k such that $H^{0,k}(M_g,E)$ does not vanish for some…
A two-dimensional polynomial map with a wandering Fatou component – Jasmin Raissy (Université Paul Sabatier, Toulouse)
The Fatou set of a holomorphic endomorphism of a complex manifold is the largest open set where the family iterates of the map form a normal family, and a Fatou component is a connected component of the Fatou set. In dimension one, Sullivan’s Non…
Asymptotics of interface evolution in random and periodic environment – Nicolas Dirr (University of Cardiff)
A surface moving by mean curvature flow with a rapidly oscillating forcing models e.g. the behaviour of a phase boundary in an impure medium. Mathematically, the combination of rapidly varying random or periodic coefficients and geometric evolution…
Contare punti di altezza limitata – Fabrizio Barroero (SNS di Pisa)
L’altezza di Weil è una funzione che misura la complessità aritmetica di un numero algebrico. Un famoso teorema, dovuto a Northcott, assicura la finitezza degli insiemi di vettori di numeri algebrici di grado e altezza uniformemente limitati. E’…
Geodetiche su spazi di moduli di metriche – Simone Calamai (Università di Firenze)
Fissata una varietà liscia M, si vuole determinare la geometria di spazi di moduli di metriche Riemanniane su M, eventualmente infinito dimensionali. Parlerò di esempi classici e loro applicazioni e risultati più recenti in collaborazione con David…