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 ...
In this talk we consider a class of scalar nonlinear models describing crowd dynamics. The congestion term appears in the transport equation in the form of a compactly supported nonlinear mobility fun...
We are concerned with a generalization to the singular case of a result of C.C. Chen e C.S. Lin [Comm. An. Geom. 1998] for Liouville-type equations with rough potentials. The singular problem is actua...
The ultimate goal of representation theory is to obtain a complete understanding of the submodule structure of some algebraic objects. In this talk we will tackle this problem for KLR algebras. In par...
In this talk I will present the recent paper by Fewster, Janssen, Loveridge, Waldron and myself: "Quantum reference frames, measurement schemes and the type of local algebras in quantum field theory."...
I will discuss joint work with Chris Peters which extends rigidity results of Arakalov, Faltings and Peters to period maps arising from families of complex algebraic varieties which are non-necessaril...
Gromov-Witten invariants are defined via intersection theory on Kontsevich's space of stable maps. The latter is very singular, with many irreducible components of different dimensions. As a consequen...
We will discuss the general notion of symplectic duality (also known as 3D mirror symmetry) between symplectic resolutions of singularities. We will give examples of dual varieties such as Higgs and C...
We will discuss modular compactifications of M_{g,n} (the moduli space of smooth curves) and their birational geometry within the framework of the Hassett-Keel program. We classify the open substacks ...
I will discuss some questions on plane curves which involve logarithmic vector fields and provide a new viewpoint on classical problems and results....
