Baker’s method (based on linear forms in logarithms) and Runge’s method (based on the pigeonhole principle) both allow to bound heights of integral points on curves (or even varieties) in certain situations which turn out to be rather different. In…
Eventi
Braid foliations and Markov theorem – Alice Merz (Università di Pisa)
The theory of braid foliations was developed to study knots and links, as well as surfaces in 3-manifolds. The original…
Introduction to persistent homology – Maria Antonietta Pascali (CNR, Pisa)
The talk will trace the history of persistent homology from its definition to the recent developments, describing the most important properties and theorems of persistent diagrams, with an eye to their applications.…
Semimartingales with jumps, weak Dirichlet processes and path-dependent martingale problems – Francesco Russo (ENSTA-Paris)
In this talk we will revisit the notion of weak Dirichlet process which is the natural extension of semimartingale with…
Grassmann extrapolation of density matrices as a tool to accelerate Born-Oppenheimer molecular dynamics – Federica Pes (Università di Pisa)
Born-Oppenheimer molecular dynamics (BOMD) is a powerful but expensive technique. The main bottleneck in a density functional theory (DFT) BOMD calculation is the solution to the DFT nonlinear equations that requires an iterative procedure that…
Maps enumeration and Symmetric functions – Houcine Ben Dali (Université de Lorraine)
A map is a graph which is drawn on a compact orientable surface. There exist various results relating the generating series of maps to the theory of symmetric functions. In this talk, I present two different approaches which allow to relate the…
Rational approximations to linear subspaces – Nicolas de Saxcé (CNRS, Université Paris-Nord 13)
Dirichlet’s theorem in Diophantine approximation implies that for any real x, there exists a rational p/q arbitrarily close to x such that |x-p/q|<1/q^2. In addition, the exponent 2 that appears in this inequality is optimal, as seen for example by…
Divisible convex sets with properly embedded cones – Gabriele Viaggi (University of Heidelberg)
An open subset of real projective space is said to be properly convex if it is contained in an affine…
Progress on canonical trace ideals – Dumitru Stamate (University of Bucharest)
The trace of a module $M$ is the sum of the images of all $R$-module homomorphisms from $R$ into $M$.…
Diffuse approximation of the Willmore functional and a conjecture of De Giorgi – Mattia Freguglia (Scuola Normale Superiore di Pisa)
In the last thirty years, there has been a growing interest in geometric energies, as for example the Perimeter functional…