I will present an overview of the Ricci flow and of its geometric applications, in particular the proof of Poincare’ conjecture. It will be a panoramic and informative talk aimed at non specialists.…
Eventi
The $K(\pi,1)$ conjecture for affine Artin groups – Giovanni Paolini (Caltech, USA)
Artin groups are a generalization of braid groups, and arise as the fundamental groups of configuration spaces associated with Coxeter groups. A long-standing open problem, called the $K(\pi,1)$ conjecture, states that the higher homotopy groups of…
Nonwandering points of continuous dynamical systems and constructive controllability – L’EVENTO SI TERRA’ SU MEET – Eugene Stepanov (St. Petersburg State University)
We will give an overview of the recent results stating how can one constructively slightly perturb a smooth vector field in order to make a given point periodic under the flow it produces (for nonwandering points this is the statements of the…
Mathematical problems in modern machine learning – Andrea Montanari (Stanford University)
The last fifteen years have witnessed dramatic advances in machine learning. This progress was mainly driven by engineering advances: greater computing power, and larger availability of training data. Not only the collection of methods that emerged…
Computer Vision e Ottimizzazione – Maurizio Monge (Applied Scientist presso Facebook)
Negli ultimi anni si sta cercando di passare dalla realtà virtuale alla realtà aumentata, ma ogni progresso in questa direzione…
Flows of vector fields: classical and modern – Camillo De Lellis (Institute for Advanced Study, Princeton, and University of Zuerich)
Consider a (possibly time-dependent) vector field $v$ on the Euclidean space. The classical Cauchy-Lipschitz (also named Picard-Lindel\”of) Theorem states that, if the vector field $v$ is Lipschitz in space, for every initial datum $x$ there is a…
La matematica impura – Marcello Paris (UniCredit)
Una volta si parlava di matematica ‘pura’ (da contrapporsi ad ‘applicata’). Oggi che si può facilmente riconoscere come ci sia…
Asymptotic Combinatorics, Stability and Ultrafilters – EVENTO ANNULLATO – Amador Martin-Pizzarro (Albert-Ludwigs-Universität Freiburg)
A finite subset A of a group G is said to have doubling K if the set A\cdot A consisting of products a\cdot b, with a and b in A has size at most KA. Extreme examples of sets with small doubling are cosets of subgroups. Theorems of Freiman-Ruzsa…
An isotropic free transmission problem involving p-laplacian – Harish Shrivastava (UFB Joao Pessoa-Brazil)
In free transmission problems we study the functionals where solutions are required to satisfy distinct partial differential equations in different phases. We will be considering the variational formulation of the problem, which will impose…