Abstract:In this seminar I will present some of my research activities related to the rigorous analysis of a quantum particle confined in a bounded region of space. In the first part of the seminar I ...
To any vertex algebra one can attach invariants of different nature: its automorphism group, its character (a formal series), its associated variety (a Poisson variety), etc. In this talk, I will exp...
We consider a large class of spatially-embedded random graphs that includes among others long-range percolation, continuum scale-free percolation and the age-dependent random connection model. We assu...
Abstract: I will present a study on the asymptotic behavior of the volume preserving mean curvature and the Mullins-Sekerka flat flows in three dimensional space, for which we need to establish a ...
In this seminar we will illustrate a work in collaboration with Ariela Briani and Hitoshi Ishii that extents the well known result on thin domains of Hale and Raugel. The test function approach of C. ...
Let \( G \) be a simple algebraic group and \( \mathcal O \subset \mathfrak g = Lie(G) \) a nilpotent orbit. If \( H \) is a reductive subgroup of \( G \), then \( \mathfrak g = \mathfrak h \oplus \ma...
In this talk we consider a spatial version of the Marcus-Lushnikov process, which models the evolution of particles that merge pairwise in a series of coagulation events. The particles are equipped wi...
Let h be a direct sum of n copies of a simple Lie algebra g. In 1994, Feigin, Frenkel, and Reshetikhin constructed a large commutative subalgbera of the enveloping algebra U(h). This subalgebra, whic...
Diffusion of knowledge models in macroeconomics describe the evolution of an interacting system of agents who perform individual Brownian motions (this is internal innovation) but also can jump on top...
Abstract: Classical W-algebras W(g,O) are a family of Poisson vertex algebras associated to a simple Lie algebra g and a nilpotent orbit O. For (almost) every W(g,O) it is possible to construct ...
