This talk presents “partition theoretic” analogs of the classical work of Matiyasevich that resolved Hilbert’s Tenth Problem in the negative. The Diophantine equations we consider involve equations of...
The aim of this course is to present some recent advances in the theory of stable sheaves on higher dimensional varieties, in particular Fano and hyper-Kähler manifolds. We will start by reviewing the...
In this talk we introduce a geometric refinement of Gromov-Witten invariants for P1-bundles relative to the natural fiberwise boundary structure. We call these refined invariants correlated Gromov-Wit...
It is known by the works of Adamović and Perše that the affine simple vertex algebras associated with G2 and B3 at level -2 can be conformally embedded into \( L_{-2}(D4). \) In this talk, I will pre...
Let \( G \) be a finite group. It is not hard to see that for any representation \( \rho: G \to \mathrm{GL}(V) \) for \( V \) a real vector space, there exists a \( G \)-invariant bilinear form \( \be...
In this talk I will present some recent results concerning modelling and simulations of collective behaviors emerging in pedestrian dynamics. Starting from the '70s, a great variety of models have bee...
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 us consider a complex abelian scheme endowed with a non-torsion section. On some suitable open subsets of the base it is possible to define the period map, i.e. a holomorphic map which marks a bas...
The Zilber-Pink conjecture is a very general statement that implies many well-known results in diophantine geometry, e.g., Manin-Mumford, Mordell-Lang, André-Oort and Falting's Theorem. After a genera...
La classificazione delle varietà di Fano di dimensione 3 e indice 1 è uno dei risultati fondamentali in geometria algebrica, completata da Iskovskikh e Mukai più di trent'anni fa. In questo seminario,...
