## Formal linearization and obstructions. Poincare theorem

- Formal equivalence of formal vector fields (total recall)
- (Additive) Resonances
- Poincare formal linearization theorem
- Proof of the Poincare theorem:
- Homological equation
- Commutator with diagonal linear vector field
- Stabilization of the series

- Resonant monomials. Resonant normal form. Poincare–Dulac paradigm.
- Formal classification of formal self-maps. Multiplicative resonances.
- Survey of further results. Formal types of line and planar singularities.

Reading material: Section 4 from the book (printing disabled).Disclaimer (alas, still required) .

Dear Sergei!

My name is Yaroslav Abramov, I’m a student of the Independent University of Moscow.

May I interest? Can you give some information (or referrences) about centralizers of formal vector fields? Is this a completely solved problem?

Will this answer be received on my e-mail?

Thanks!

Comment by Yarick Abramov — Tuesday, July 7, 2009 @ 10:47 |