The symmetry of solutions of elliptic equations is a classical and challenging problem in PDE, connected with stability. In this talk we are concerned with parabolic equations and we ask whether the 1...
La classificazione di varietà in dimensione bassa è tra i risultati fondamentali della geometria dello scorso secolo. Gli oggetti fondamentali sono divisi in base ad invarianti topologici come la cara...
In higher Teichmuller theory we study subsets of the character varieties of surface groups that are higher rank analogs of Teichmuller spaces, e.g. the Hitchin components and the spaces of maximal rep...
Gaiotto introduced the notion of a conformal limit of a Higgs bundle and conjectured that these should identify the Hitchin component with the Oper stratum in the deRham moduli space. In the case of c...
I will compare work of Formanek on a certain construction of central polynomials with that of Collins on integration on unitary groups. These two quite disjoint topics share the construction of the sa...
To any polarized variety (X,L) is associated a section ring R. I will explain the relation between suitable classes of norms on R and functions on the Berkovich analytification of X. Time permitting, ...
I will try to explain and motivate the notion of Lefschetz (exceptional) collections in derived categories of coherent sheaves and their residual categories and, in particular, its conjectura relation...
