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Sistemi di marce aleatorie cicliche interagenti

(chiamata in qualità di Professore di II fascia all'esito di procedure valutative ai sensi e con le modalità previste dall'art. 24, comma 5, della Legge 240/2010, riservate ai ricercatori a tempo dete...

Artificial Intelligence from a Mathematical Physics perspective

Abstract: Artificial Intelligence is nowadays an ubiquitous concept, with a remarkable impact in every field of science and technology. Despite this, a clear understanding of information processi...

Strutture geometriche e varietà iperboliche

AbstractUna struttura geometrica, o (G,X)-struttura, su uno spazio M consiste nel seguente dato: abbiamo un gruppo (di Lie) G che agisce transitivamente su uno spazio X e M è munito di un atlante di c...

Baxter Q-operators, QQ-systems and the shifted Yangian

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...

On the metric structure of section rings and holomorphic extension theorem

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 ...

Unitary Representations of Real Reductive Groups and Conical Symplectic Singularities

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 ...

On a Donaldson functional for CMC-immersions of surfaces into hyperbolic 3-manifolds

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...

GCD results on semiabelian varieties and a conjecture of Silverman

A divisibility sequence is a sequence of integers d_n such that, if m divides n, then d_m divides d_n. Bugeaud, Corvaja, Zannier showed that pairs of divisibility sequences of the form a∧n−1 have only...

Log-concavità del polinomio cromatico di grafi

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...

Definite fillings of plumbed 3-manifolds

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...

Deformation of invariant connections

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...

Algebre di Hall coomologiche, spazi di moduli e gruppi quantici

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...