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...
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...
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...
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...
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...
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...
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...
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 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...
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...
The analytic surgery sequence is a long exact sequence of K-theory groups which combines
topological information (the K-homology of manifolds), index theoretic information (the
K-theory of group C*-al...
The Chern character is a central construction which appears in topology, representation
theory and algebraic geometry.
In algebraic topology it is for instance used to probe algebraic K-theory which i...
