In this talk I will present some applications of the theory of foliations to the theory of differential equations in the complex domain. I will start by recalling the definitions and basic properties of foliations. I will then consider the case in which the total space of a fibre bundle is foliated in a way which is compatible, in a suitable sense, with the bundle projection, and discuss the notions of Painleve' foliations of the first and second kind, which were introduced by Gerard and Sec in order to give a geometric interpretation and to generalise some of the theorems of Painleve' about complex differential equations. One of the authors' main results concerns the case of a holomorphic foliation compatible with a holomorphic locally trivial bundle with compact fibers, and I will show how, after performing suitable compactifications, one can apply this theorem to obtain some results about complex ODE, usually proved by analytic methods.
You are here
GEOMETRIC THEORY OF DIFFERENTIAL EQUATIONS IN THE COMPLEX DOMAIN
Research Group:
Vitantonio Peragine
Institution:
SISSA Trieste
Location:
A136
Schedule:
Tuesday, September 26, 2017  11:00
Abstract:
Openings
 Public calls for academic personnel (Permanent positions)
 Professors (Temporary/Researchers/Visiting Professors)
 SISSA Mathematical Fellowships
 Post Doctoral Fellowships
 PhD Scholarships
 Call for Applications (PhD)
 Undergraduate Fellowships
 Postgraduate Fellowships
 Laurea Magistrale (In Italian)
 Marie SklodowskaCurie Grants
Upcoming events

Karen Corrales Escalona
Singularities of mean curvature flow and surgery
Tuesday, January 23, 2018  14:00

Karen Corrales Escalona
Singularities of mean curvature flow and surgery
Tuesday, January 23, 2018  14:00

Karen Corrales Escalona
Singularities of mean curvature flow and surgery
Tuesday, January 23, 2018  14:00

Giulia Meglioli
Comparison of model order reduction approaches in parametrized optimal control problems
Wednesday, January 24, 2018  15:00
Today's Lectures

Stefano Bianchini
09:00 to 11:00

Ludwik Dabrowski
11:00 to 13:00

Nicola Visciglia
11:00 to 13:00

Andrei Agrachev
11:00 to 13:00

Nicola Gigli
14:00 to 16:00
Recent publications

G. Cotti; B. Dubrovin; D. Guzzetti,Local moduli of semisimple Fro...

N. Antonić; M. Erceg; A. Michelangeli,Friedrichs systems in a Hilber...

G. Pitton; A. Quaini; G. Rozza,Computational reduction strate...

G. Dell'Antonio; A. Michelangeli; R. Scandone; K. Yajima,The Lpboundedness of wave ope...