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...
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...
Artin groups are a generalization of braid groups, and arise as the fundamental groups of configuration spaces associated with Coxeter groups. A long-standing open problem, called the K(Π,1) conjectur...
La dicotomia tra funzioni zeta di Dedekind e funzioni zeta parziali associate a un campo di numeri si estende formalmente a certi valori zeta in campi globali di caratteristica positiva (lavori di And...
We discuss a parametrization for the moduli space of Constant Mean Curvature (CMC)immersions of a closed surface S (orientable and of genus at least 2) into hyperbolic 3-manifolds by elements of the t...
I plan to discuss the construction of Baxter Q-operators within the framework of the Quantum Inverse Scattering Method. The method follows the standard procedure for the transfer matrix construction o...
We study the relationship between metric and algebraic structures on section rings of polarized projective manifolds. More precisely, we prove that once the kernel is factored out, the multiplication ...
One of the most fundamental unsolved problems in representation theory is to classify the set of irreducible unitary representations of a real reductive Lie group. In this talk, I will define a class ...
Lo scopo del seminario è quello di esporre la recente dimostrazione di June Huh della log-concavità dei coefficienti del polinomio cromatico di un grafo. Quest'anno June Huh è stato premiato con la me...
Suppose a group acts on a manifold and the action can be lifted to a principal bundle over it. We consider invariant connections and their gauge equivalence classes. When the base space is a single gr...
L'obiettivo del seminario consiste nel dare una panoramica della teoria delle algebre di Hall coomologiche (COHA, in breve) di dimensione due e dei suoi legami, da un lato, con lo studio della topolog...