Sergei Yakovenko's blog: on Math and Teaching

Wednesday, October 31, 2007

“Auxiliary Lesson” שעור עזר) #2) November 1, 2007

Filed under: Analytic ODE course,lecture — Sergei Yakovenko @ 10:07

The meeting will again be devoted to explanation of background material for the course to be taught after the strike. The supplementary material covered on this meeting includes:

  1. Autonomous differential equations and (holomorphic) vector fields. Flow of vector field.
  2. Algebraic description of vector fields as derivations of the algebra oh holomorphic functions.  One-parametric groups of automorphisms.
  3. Rectification of vector fields near nonsingular points. Singularities.
  4. Localization and germs.
  5. Holomorphic foliations: definition and examples.
  6. Holonomy of foliations.
  7. Inverse problem: construction of a foliation with the specified holonomy. Suspension.

Links: Textbook section (printing disabled) with problems pages (printable).


Leave a Comment »

No comments yet.

RSS feed for comments on this post. TrackBack URI

Leave a Reply

Fill in your details below or click an icon to log in: Logo

You are commenting using your account. Log Out /  Change )

Google+ photo

You are commenting using your Google+ account. Log Out /  Change )

Twitter picture

You are commenting using your Twitter account. Log Out /  Change )

Facebook photo

You are commenting using your Facebook account. Log Out /  Change )

Connecting to %s

Create a free website or blog at

%d bloggers like this: