Data:
30/01/2024 - 12:00
Aula:
Aula Buzano
Speaker:
Mauricio Corrêa
Categoria:
Seminari di Algebra e Geometria Algebrica
Afferenza:
Università degli Studi di Bari Aldo Moro
Descrizione:
Abstract :
The theory of distributions and foliations has its origins in
the studies of nineteenth-century mathematicians such as
Grassmann, Jacobi, Clebsch, Cartan and Frobenius. They
were motivated by the fundamental work due to Pfaff, who
proposed a geometric approach to the study of differen-
tial equations. Distributions and foliations play an impor-
tant role in several subjects from differential, complex, al-
gebraic and Poisson geometries. The qualitative study of fo-
liations induced by complex polynomial differential equa-
tions was investigated by Poincare', Darboux and Painleve'.
In this talk, I will discuss some Algebro-geometric methods
in the study of holomorphic distributions and foliations,
their moduli spaces and topological invariants.