Il seminario sarà diviso in due parti da 45′ ciascuna. La prima parte, introduttiva, sarà adatta anche dottorandi e studenti della laurea specialistica.…
Eventi
Dynamic evolutions for a peeling test in dimension one. – Giuliano Lazzaroni (SISSA)
We present a simplified model of dynamic crack propagation, where the equation of elastodynamics is coupled with Griffith’s principle. In recent years there has been an increasing interest in studying systems where second-order equations for…
Categorie di quasi-Coxeter, connessione di Casimir e gruppi di Weyl quantistici – Valerio Toledano Laredo (Northeastern University)
Una categoria di quasi-Coxeter e una categoria monoidale intrecciatai cui oggetti portano un’azione di un gruppo di trecce generalizzato BW. I dati che definiscono l’azione di BW assomigliano ai vincoli di associativita di una categoria monoidale,…
Lagrange Spectrum of Veech surfaces – Mauro Artigiani (Centro De Giorgi)
The Lagrange spectrum is a classical object in Diophantine approximation on the real line that has been generalised to many different settings. In particular, recently it has been generalised to a similar object for translation surfaces, which…
Obstacle-Type Problems and Generalizations to the Fully Non-Linear Setting – Andreas Minne (Scuola Normale Superiore)
The obstacle problem is more than half a century old, but remains a relevant topic in mathematics due to the many variants and applications that occur in, for instance, physics, finance and potential theory. In the seminar we will briefly go over…
Linearization of multi-dimensional dynamical systems through tree-expansions – David Sauzin (CNRS e Laboratorio Fibonacci)
jointworkwithF.FauvetandF.Menous…
From coarea formula to level set differential equations – Valentino Magnani (Universita’ di Pisa)
We present how the problem of coarea formula in the Heisenberg group leads us rather unexpectedly to a system of “level set differential equations”, generated by a defining mapping of very low regularity. In this system we cannot write classical…
On a proof to Shiota’s conjecture to characterize Nash images of Euclidean spaces – José Fernando (Universidad Complutense de Madrid)
In this work we characterize the subsets of R^nthat areimages of Nash maps f : R^m → R^n. We prove Shiota’s conjecture andshow that a subset S ⊂ R^nis the image of a Nash map f : R^m → R^nif and only if S is semialgebraic, pure dimensional of…
Integrability of bi-homogeneous potentials – Thierry Combot (Centro Fibonacci e Université de Bourgogne )
We present a new notion of homogeneity for rational potentials in the plane, we called rotation homogeneity. These potentials can be seen as singular limits of rational potentials, and in particular, a necessary condition for integrability is that…
Deformazioni che preservano l’ area di metriche iperboliche e superfici Anti-de-Sitter – Francesco Bonsante (Università di Pavia)
Nel suo lavoro fondazionale Mess ha mostrato come associare a superfici di tipo spazio nello spazio Anti de Sitterdeformazioni che preservano l’ area di metriche iperboliche su superfici. Ad esempio superfici plissettate nello spazio Anti de…