English

Lectures on meromorphic flat connections

Classical Analysis and ODEs 2010-03-16 v1 Complex Variables Dynamical Systems

Abstract

These notes form an extended version of a minicourse delivered in Universite de Montreal (June 2002) within the framework of a NATO workshop ``Normal Forms, Bifurcations and Finiteness Problems in Differential Equations''. The focus is on Poincare--Dulac theory of ``Fuchsian'' (logarithmic) singularities of integrable systems, with applications to problems on zeros of Abelian integrals in view.

Keywords

Cite

@article{arxiv.math/0212334,
  title  = {Lectures on meromorphic flat connections},
  author = {D. Novikov and S. Yakovenko},
  journal= {arXiv preprint arXiv:math/0212334},
  year   = {2010}
}