Santo Stefano del Sole (Avellino), Italy,
July 16 - August 1, 2005
Last updated August 22, 2005

This school was organized in cooperation with
  • Istituto Italiano per gli Studi Filosofici, Italy;
  • Municipality of Santo Stefano del Sole (AV), Italy;
  • Comunità Montana Serinese-Solofrana, Italy;
  • Ente Morale S. Vito Martire, Italy,
and under the scientific direction of Prof. A. M. Vinogradov (Università di Salerno, Italy).


  1. Secondary Calculus
  2. Courses
  3. Scientific session
  4. List of participants
  5. Organizing committee
  6. School photos. (last updated August 22, 2005.)
  7. Color School poster (PDF, 692 K, and DJVU, 114 K).


In this edition of the school two series of courses, one for beginners and one for the veterans, were given. Courses started on Sunday, July 17 at 9:00 a.m. and ended on Sunday, July 31 at 1:30 p.m. Diplomas was delivered on Sunday, July 31 afternoon. Sunday, July 24 afternoon and Monday, July 25 were free of scientific activities.

Courses for beginners
B1. Smooth Manifolds and Observables (by prof. A. Vinogradov).
B2. Differential Calculus over Commutative Algebras (by dr. S. Igonin).

Courses for veterans
A1. Differential Cohomology I (by dr. L. Vitagliano).
A2. Geometry of Differential Equations (by prof. N. Khor'kova).

Daily seminar sessions were done by prof. M. Vinogradov, dr. C. Di Pietro, dr. G. Moreno, dr. R. Piscopo.

Scientific session

The following talks were given:
July 26. On some diffiety projects by prof. A.M. Vinogradov.
July 27. Moduli space of Fedosov structures by dr. Stanislav Dubrovskiy.
July 28. On Spectral theorem in the category of differential spaces by prof. Wieslaw Sasin.
July 29. On Differential spaces of smooth maps by prof. Piotr Multarzynski.
July 30. What really are tensors? by dr. Luca Vitagliano.

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 in Differential Calculus over Commutative Algebras: The following students have passed examinations in Smooth Manifolds and Observables:
The following students have passed examinations in Differential Cohomology I:

Organizing committee:

D. Catalano Ferraioli, C. Di Pietro, V. Fiore, M. Langastro, G. Manno, G. Moreno, R. Piscopo, V. Vingo, M. M. Vinogradov, L. Vitagliano.