In this talk, I will give a simple description of the closure of the nilpotent orbits appearing as associated varieties of admissible affine vertex algebras in terms of primitive ideals. I will also c...
Finite W-algebras are a finite collection of filtered algebras associated to each complex semisimple Lie algebra, which have interesting applications to the classification of primitive ideals in envel...
Why do some polynomial equations have only finitely many solutions in the integers? Lang-Vojta's conjecture provides a conjectural answer and relates this number-theoretic question to complex geometry...
Parabolic partial differential equations are used to describe a wide variety of time-dependent phenomena, arising in a number of important physical problems. The aim of this talk is to present some se...
Dopo alcuni richiami sull'approccio alla teoria delle deformazioni tramite DG algebre di Lie (o più in generale algebre L-infinito), ci concentreremo sullo studio delle deformazioni di un fascio coere...
One of the simplest examples of W-algebras is the Bershadsky-Polyakov vertex algebra W∧k(g,f), associated to g=sl(3) and the minimal nilpotent element f. We study the simple Bershadsky-Polyakov algebr...
In this talk, I will describe the main techniques of photographic 3D-reconstruction, which are structure-from-motion, multi-view stereoscopy, shape-from-shading and photometric stereo. I will highligh...
Motivated by the study of smoothings of rational surface singularities as well as symplectic fillings of plumbed 3-manifolds, we consider an analogue problem in a purely topological setting. The quest...
In this talk I will present how proteomic, nuclear medicine and imaging data can be used to model the patho-physiology of cancer at different scales, from single cell, through tissues to organs. The m...