Since 1976 J.E. Roberts introduced a non-Abelian 1-cohomology of charge-transporters on the Haag-Kaster networks, and as early as 1990 he proved that this cohomology gives a category equivalent to the...
The combinatorial invariance conjecture asserts that the Kazhdan-Lusztig (KL) polynomial of an interval [u,v] in Bruhat order can be determined just from the knowledge of the poset isomorphism type of...
Vinberg representations are representations of algebraic groups that arise from a cyclic grading of a semisimple Lie algebra. In the literature, they are mainly known as theta-groups or Vinberg pairs....
Circa dieci anni fa, V. Jones introduceva diverse rappresentazioni unitarie dei gruppi di Thompson e vari sottogruppi interessanti sono emersi come stabilizzatori di vettori in queste rappresentazioni...
We discuss regularity for the crack set of a minimizer for the Griffith fracture energy, arising in the variational modeling of brittle materials. In the planar setting, we prove an epsilon-regulari...
The classical Bloch-Ochiai theorem states that a complex projective manifold with irregularity larger than its dimension has no Zariski dense entire curve. I will present a generalization of this theo...
The research project, in collaboration with Thales Alenia Space Italia SpA, aims to study, develop and numerically simulate innovative methods for optimizing the orbital transfer of small satellites i...
Over the last few decades, the study of the nonlinear Schrödinger equation on \(\mathbb{R}^N\) has been investigated by numerous researchers. However, very few results are known when the domain is non...
Scale groups are closed subgroups of the group of isometries of a regular tree that fix an end of the tree and are vertex-transitive. They play an important role in the study of locally compact totall...
