We discuss generalizations of Gromov’s main inequality which states an inequality between Riemannian and simplicial volume under a lower curvature Ricci curvature bound. According to Gromov one might be able to replace Ricci by scalar curvature. We…
Eventi
Matrices in companion rings and their Smith forms, with applications to group theory and algebraic topology – Vanni Noferini (University of Essex and Aalto University)
In group theory, various properties of the abelianization of a cyclically presented group can be deduced by the Smith normal form of an integer circulant matrix. Motivated by this fact, we present a number of results on the Smith form of matrices…
Embedding properties of network realizations of reduced order models with applications to inverse scattering and data science – Vladimir Druskin (Worcester Polytechnic Institute)
Continued fractions are known since antiquity as the most compact representations of numbers. At the end of the 19th century Stieltjes connected them with physics. This connection gave rise to network syntheses in the first half of the 20th century…
A degenerate reason why trivial is not always good – Luigi Lunardon (Imperial College London)
A degenerate reason why trivial is not always good Abstract: In this talk, we focus on degeneration of low dimensional Calabi-Yau varieties.All the mysterious words in this abstract will be explained. It is not surprising that, while curves are easy…
Optimal transport between mutually singular measures – Giuseppe Buttazzo (Universita’ di Pisa)
We study the Wasserstein distance between two measures $\mu,\ u$ which are mutually singular. In particular, we are interested in minimization problems of the form $$W(\mu,{\cal A})=\inf\big\{W(\mu,\ u)\ :\ \ u\in{\cal A}\big\}$$ where $\mu$ is a…
Classificazione di Enriques delle superfici algebriche – Federico Conti (Università di Pisa)
Titolo: Classificazione di Enriques delle superfici algebriche Prerequisiti: geometria algebrica di base e teoria dei fasci Abstract: Fra gli obbiettivi che si pone un geometra algebrico, di sicuro vi è quello di catalogare gli oggetti con cui ha a…
Elliptic equations in unbounded cylinders with nonpositive zero order terms and applications to wave homogenization. – Juan Casado-Diaz (Universita’ di Siviglia)
We investigate the existence of solution for a linear elliptic problem posed in an unbounded cylinder where due to the presence of a nonpositive zero order term Lax-Milgram’s theorem does no apply. Since the domain is unbounded, Fredholm theory does…
On the flow of elastic networks – Paola Pozzi
In this talk I will discuss a long-time existence result for the elastic flow of a three network in $R^n$. The evolution is such that the sum of the elastic energies of the three curves plus their weighted lengths decrease in time. Natural boundary…
Moduli and Hodge Theory – Phillip A. Griffiths (Institute for advanced study, Princeton)
Abstract TBA…
On the vanishing viscosity limit for incompressible flows – Anna Mazzucato (Penn State University)
I will discuss recent results on the analysis of the vanishing viscosity limit, that is, whether solutions of the Navier-Stokes equations converge to solutions of the Euler equations, for incompressible fluids when walls are present. At small…