Top-level heading

Perverse sheaves on affine flag varieties, geometry of the dual group, and
representations

The description of regular blocks of the category O of a complex semisimple Lie algebra in terms of perverse sheaves on a flag variety has been a crucial tool for its study, and in particular for the ...

Numerically special varieties

Campana introduced the class of special varieties as the varieties admitting no maps onto an orbifold of general type. They are also characterized by the non-existence of Bogomolov sheaves which are r...

Finite flat group schemes over Z

Finite flat group schemes are important in number theory. We explain what we do and don't know about their structure over rings of integers of number fields, in particular over Z. This is joint work w...

Singularly-perturbed elliptic functionals: Γ-convergence and stochastic homogenisation

In this talk we introduce a general class of singularly-perturbed elliptic functionals Fε and we study their asymptotic behaviour as the perturbation parameter ε > 0 vanishes. Under suitable assump...

Replacing vanishing theorems in mixed characteristic and the Minimal Model Program
for 3-folds over excellent schemes

Kodaira and Kawamata-Viehweg vanishing is frequently used to lift sections of adjoint bundles, a crucial part of many arguments in the classification theory of algebraic varieties, notably in many pro...

Overgroups of regular unipotent elements in simple algebraic groups

We consider the question of determining reductive overgroups of regular unipotent elements in simple algebraic groups and in particular give a condition which guarantees that the overgroup does not li...

Algebre di vertice (di Poisson) in algebra, geometria e sistemi integrabili

Nel seminario si presenteranno delle applicazioni delle algebre di vertice e algebre di vertice di Poisson in algebra, geometria e sistemi integrabili. In particolare si introdurrà la nozione di W-alg...

Varietà con olonomia speciale: singolarità e degenerazioni

Le varietà Riemanniane con olonomia speciale sono alcune delle strutture geometriche più rilevanti in geometria differenziale. In particolare, metriche con olonomia speciale sono Einstein, risolvono c...

Free boundary minimal surfaces with connected boundary and arbitrary genus

Besides their self-evident geometric significance, which can be traced back at least to Courant, free boundary minimal surfaces also naturally arise in partitioning problems for convex bodies, in capi...

Metodi numerici per problemi differenziali di larga scala: riduzione di modelli, modelli data-driven e controllo ottimo.

Il mio principale tema di ricerca è l'approssimazione di problemi su larga scala per equazioni alle derivate parziali (PDE). Ciò coinvolge metodi numerici che risolvono PDE in tempo reale mediante tec...

Fractional diffusion: We haven't finished yet

Fractional diffusion is the most widespread application of fractional calculus. Actually, it gave to fractional calculus the required visibility for becoming a remarkable tool in modelling, because of...

Alcuni risultati nella teoria matematica del gas rarefatto

Discuterò problemi e progressi recenti sulla dinamica statistica di un sistema deterministico di particelle classiche, nel limite cinetico che è governato, all'ordine principale, dall'equazione di Bol...