Top-level heading

Long time behaviour of solutions to Hamilton-Jacobi equations for sub-Riemannian control systems

Sub-Riemannian systems are an important class of nonlinear control systems with linear dependence on controls. Controllability properties for such systems are derived by the so-called Lie Algebra rank...

L^2-cohomology of quasi-fibered boundary metrics

Quasi-fibered boundary metrics (QFB metrics) form a class of complete metrics generalizing the class of quasi-asymptotically locally Euclidean metrics introduced by Joyce. After reviewing what QFB met...

Actions of Cremona groups on CAT (0) cube complexes

A key tool to study the plane Cremona group is its action on a hyperbolic space. Sadly, in higher rank such an action is not available. Recently, in geometric group theory, actions on CAT(0) cube comp...

Are solutions of reaction-diffusion equations asymptotically 1D ?

The symmetry of solutions of elliptic equations is a classical and challenging problem in PDE, connected with stability. In this talk we are concerned with parabolic equations and we ask whether the 1...

Varietà di Fano di tipo K3 (e loro teoria di Hodge) e varietà hyperKaehler.

La classificazione di varietà in dimensione bassa è tra i risultati fondamentali della geometria dello scorso secolo. Gli oggetti fondamentali sono divisi in base ad invarianti topologici come la cara...

Non commutative cluster coordinates for Higher Teichmüller Spaces

In higher Teichmuller theory we study subsets of the character varieties of surface groups that are higher rank analogs of Teichmuller spaces, e.g. the Hitchin components and the spaces of maximal rep...

Conformal limits of parabolic Higgs bundles

Gaiotto introduced the notion of a conformal limit of a Higgs bundle and conjectured that these should identify the Hitchin component with the Oper stratum in the deRham moduli space. In the case of c...

A note on the Weingarten function

I will compare work of Formanek on a certain construction of central polynomials with that of Collins on integration on unitary groups. These two quite disjoint topics share the construction of the sa...