Kostroma, Russia,
January 25 - February 5, 2006
Last updated February 6, 2006

This school is organized in cooperation with and under the scientific direction of Prof. A. M. Vinogradov (Università di Salerno, Italy).


  1. Secondary Calculus
  2. Lecturers and tutors in the School
  3. Courses
  4. Prerequisites
  5. List of participants
  6. Organizing committee
  7. School photos. (last updated February 27, 2006.)
  8. └ccommodation
  9. Color School poster in Russian (316 K), and in English (411 K).
  10. Previous schools

Lecturers and tutors:

A. M. Vinogradov (Salerno, Italy, and Moscow, Russia), I. S. Krasil'shchik (Moscow, Russia), V. N. Chetverikov (Moscow, Russia), S. Igonin (Bonn, Germany), M. M. Vinogradov (Moscow, Russia), L. Vitagliano (Salerno, Italy), C. Di Pietro (Salerno, Italy), G. Moreno (Salerno, Italy), R. Piscopo (Salerno, Italy).


In this edition of the school two series of courses, one for beginners and one for the veterans, were given. Courses started on Wednesday, January 25 at 14:30 a.m. and ended on Sunday, February 5, at 11:30 a.m. Diplomas was delivered on Sunday, February 5 afternoon.

Courses for beginners
B0. Introduction to Smooth Manifolds (by dr. S. Igonin).
B1. Smooth Manifolds and Observables (by prof. A. Vinogradov).
B2. Differential Calculus over Commutative Algebras (by prof. I. S. Krasil'shchik and prof. M. M. Vinogradov).

Courses for veterans
A1. Nonlocal Constructions in the Geometry of PDE (by prof. I. S. Krasil'shchik).
A2. Symmetries of Differential Equations (by prof. V. N. Chetverikov).

Daily seminar sessions were done by dr. C. Di Pietro, dr. G. Moreno, dr. R. Piscopo, and dr. L. Vitagliano.

Scientific session:

The talks were given by Rustam Sadykov, Stanislav Dubrovskiy, Petr Akhmet'ev, and Yurii Zelinskii.

List of participants:

Also among participants:

Diplomas of participation in the School were handed to all participants. Moreover, there were examinations in all courses, which were organized as follows. For each course, students received a list of examination problems. To pass an examination, one had to solve a reasonably large number of problems. Students having passed an examination received diplomas certifying this fact.

The following students have passed examinations cum laude in Introduction to Smooth Manifolds, in Smooth Manifolds and Observables and in Differential Calculus over Commutative Algebras: The following students have passed examinations in Introduction to Smooth Manifolds: The following students have passed examinations in Smooth Manifolds and Observables: The following students have passed examinations in Differential Calculus over Commutative Algebras:

Organizing committee:

S. Igonin, I. S. Krasil'shchik, C. Di Pietro, G. Moreno, R. Piscopo, M. M. Vinogradov, L. Vitagliano.