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…
Categoria evento: Seminars
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)
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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…
La geometria del grafo dei flip – Valentina Disarlo (Indiana University)
Il grafo dei flip di una superficie puntata orientabile e’ il grafo i cui vertici corrispondono alle triangolazione ideali della superficie e i cui lati corrispondono ai flip. La sua combinatoria e’ cruciale nei lavori di Thurston e Penner sulla…
Finite-time singularities of the stochastic harmonic map flow on surfaces – A. Hocquet (TU Berlin)
A ferromagnetic material possesses a magnetization, which, out of equilibrium, satisfies the Landau-Lifshitz-Gilbert equation (LLG). Thermal fluctuations are taken into account by Gaussian space-time white noise. At least in the deterministic case,…
Dehn surgery and rational homology balls – Marco Golla (Uppsala)
Which 3-manifolds bound rational homology 4-balls? This question arises naturally in a variety of settings, and we address it in the case of surgeries along knots and their cables. The techniques we use are a combination of Heegaard Floer homology…