In Catalan percolation, one declares the edges {i,i+1}, for integer i, occupied and each edge {i,j} with j> i+1 open independently with probability p. For k> i+1, we recursively define {i,k} to ...
The classical Stepanov theorem strengthens the Rademacher theorem by establishing almost-everywhere differentiability for pointwise Lipschitz functions into Euclidean spaces. In this seminar, I will d...
We consider the optimal regulation problem for nonlinear control-affine dynamical systems. Whereas the linear-quadratic regulator (LQR) considers optimal control of a linear system with quadratic cost...
The induced character formula in classical representation theory can be used, among other things, to describe the dimension of coinvariants of a representation in terms of its character. In this talk,...
A basic problem in symplectic topology is the classification of Lagrangian submanifolds up to Hamiltonian isotopy. There is growing evidence that this is impossible to solve, but one can hope to have ...
I will report on a recent work in collaboration with F. Cavalletti and A. Lerario, where we study complex projective hypersurfaces seen as probability measures on the projective space. Our guiding qu...
Deciding whether a given algebraic variety is rational (birational to projective space) is an important problem in algebraic geometry. Over the field of real numbers, this problem is particularly inte...
In this talk I will present a recent work in which the strong ill-posedness of the two-dimensional Boussinesq system is proven. I will show explicit examples of initial data with vorticity and densit...
Few years ago, O'Grady introduced the notion of modular sheaves on hyperkähler manifolds, which, along with the notion of hyperholomorphic and atomic sheaves, aims to a better study of the moduli spac...
