Summer 2005 Italian School

THE ITALIAN SUMMER 2005 SCHOOL

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).

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

Courses

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).

Seminars
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:

Michael Bächtold (Zürich University, Switzerland),
Denis Biriukov (Bauman State University, Moscow, Russia),
Maila Brucal (International center for theoretical physics, Trieste, Italy),
Michal Cukrowski (Warsaw University of Technology, Poland),
Stanislav Dubrovskiy (Keio University, Yokohama, Japan),
Valentina Golovko (Moscow State University, Russia),
Peter Jossen (Ecole polytechnique fédérale de Lausanne, Switzerland),
Katsiaryna Krupchyk (University of Joensuu, Finland),
Evgeni Yordanov Ovcharov (University of Edinburgh, UK),
Davide G. M. Salvetti (University of Trieste, Italy),
Peter Sebestyen (Silesian University in Opava, Czech Republic),
Daniele Signori (Penn State University, USA),
Andrey Shevliakov (Bauman State University, Moscow, Russia),
Loic Teyssier (Universite Louis Pasteur, Strasbourg, France),
Marko Vojinovic (Institute of Physics, Belgrade, Serbia and Montenegro).

Also among participants:

Prof. Håkan Hedenmalm (Royal Institute of Technology, Stockholm, Sweden),
Prof. Darko Mrakovcic (Rieka, Croatia),
Prof. Piotr Multarzynski (Warsaw University of Technology, Poland),
Prof. W. Sasin (Warsaw University of Technology, Poland).

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:

Denis Biryukov (Bauman State University, Moscow, Russia),
Katsiaryna Krupchyk (University of Joensuu, Finland),
Stanislav Dubrovskiy (Keio University, Yokohama, Japan).

The following students have passed examinations in Smooth Manifolds and Observables:

Michal Cukrowski (Warsaw University of Technology, Poland),
Katsiaryna Krupchyk (University of Joensuu, Finland),
Stanislav Dubrovskiy (Keio University, Yokohama, Japan).

The following students have passed examinations in Differential Cohomology I:

Loic Teyssier (Universite Louis Pasteur, Strasbourg, France),
Davide Salvetti (University of Trieste, Italy).

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.

Contents

Courses

Scientific session

List of participants:

Organizing committee: