[institut] Announcement - IX Winter Diffiety School (fwd)

Fri Nov 14 12:56:16 CET 2008

---------- Forwarded message ----------
Date: Thu, 13 Nov 2008 11:58:57 +0100
From: Luca Vitagliano <lvitagliano at unisa.it>
Subject: Announcement - IX Winter Diffiety School

Dear Sir/Madam/Dr./Prof.
we apologize if you already received this e-mail

The Levi-Civita Institute (www.levi-civita.org), sponsored by the  
foundation "Science against ages", with the participation of the  
Mathematics and Mechanics Faculty of the Saint Petersburg State  
University, in cooperation with the "Istituto Italiano per gli Studi  
Filosofici" (www.iisf.it) is organizing the

IX EDITION OF THE WINTER RUSSIAN DIFFIETY SCHOOL

on Geometry of Partial Differential Equations and Secondary Calculus,  
February 1-12, 2009, Kostroma, Russia.

We would be very grateful to you if you forwarded the attached below  
announcement to all possibly interested undergraduate, graduate, Ph.D.
students, reasearchers and professors of your department/institution.

For more information see the web-page of the school  
http://school.diffiety.org/page3/page0/page92/page92.html

Thank you very much for your help
with best regards
The Organizing Committee of the IX Winter Russian Diffiety School

###########################  ANNOUNCEMENT  ############################

IX EDITION OF THE WINTER RUSSIAN DIFFIETY SCHOOL

School in Geometry of Partial Differential Equations and Secondary Calculus
                            Kostroma, Russia.
                          February 1-12, 2009.

The aim of the permanent Diffiety School is to introduce undergraduate  
and Ph. D. students in Mathematics and Physics as well as  
post-doctoral researchers in a recently emerged area of Mathematics  
and Teoretical
Physics:

                           SECONDARY CALCULUS

A diffiety is a new geometrical object that properly formalizes the  
concept of the solution space of a given system of (nonlinear) PDEs,  
much as an algebraic variety does with respect to solutions of a given  
system of algebraic equations. Secondary Calculus is a natural  
diffiety analogue of the standard Calculus on smooth manifolds, and as  
such leads to a very rich general theory of nonlinear PDEs. It appears  
that it is this the only natural language of quantum physics, just as  
the standard Calculus is for classical physics.

The School is organized by:

Levi-Civita Institute (www.levi-civita.org); Foundation "Science  
against ages"; Istituto Italiano per gli Studi Filosofici  
(www.iisf.it); Diffiety Institute (www.diffiety.org).

With the participation of the Mathematics and Mechanics Faculty of the  
Saint Petersburg State University, and under the scientific direction  
of Prof. A. M.
Vinogradov (UniversitÃ  di Salerno, Italy, and Diffiety Institute, Russia).

Courses
In this edition of the School, four courses will be proposed.
The general classification of Diffiety School's courses is as follows:

B-COURSE(S): courses for beginners;
A-COURSE(S): advanced courses;
C-COURSE(S): courses for veteran participants.

Course B0.
Title: Introduction to differential calculus over commutative algebras  
and geometry of smooth manifolds.

Course B1.
Title: Differential calculus over commutative algebras.

Course B2.
Title: Geometric structures in the theory of PDEs.

Course A1.
Title: Basic differential complexes and cohomology.

Course A2.
Title: Introduction to Secondary Calculus: symmetries, conservation  
laws and Lagrangian formalism.

Further activities.
In addition, some special lectures and seminars will be organised for  
veterans.

Location

Kostroma (Russian: ?????????) is a historic city in central Russia,
administrative centre of the Kostroma Oblast. A part of the Golden ring of
the
Russian towns, it is located at the confluence of the rivers Volga and
Kostroma, 65 km east of Yaroslavl. Detailed information about the actual
location of the school in Kostroma and how to reach it will be duly  
given later
on.

Application, Selection and Admission

To apply, please choose among the registration forms http://school.diffiety.
org/page3/page0/page92/page92.html#ASA the one which better fits your
personal
profile, and fill it in all its compulsory fields. Applicants will be
selected
by the Director of the School, prof. A. M. Vinogradov. During the selection
phase, applicants may be requested to provide their curriculum and/or
scientific background. Selection criteria are mainly based on the following:
participants are required to be familiar with fundamentals of Commutative
Algebra, Topology and Differential Geometry (see the next section:
Prerequisites). Admitted participants will be duly informed by e-mail. The
school, including a full board accomodation in double room in a hotel  
(see http:
//school.diffiety.org/page3/page0/page92/page92.html#AMC), is free for  
admitted
participants. Travel expenses are on charge of participants.

DEADLINE: Application must be sent not later than Sunday, 18th of January,
2009.

Prerequisites

Suitable fundamentals for a fruitfull participation in the school may be
found
in the following references:

     * M. F. Atiyah, I. G. MacDonald, - Introduction to Commutative Algebra,
-
Westview Press, 1969, Chapters 1,2. A beginner participant should be able to
solve exercise from these two chapters.

     * John M. Lee, - Introduction to Smooth Manifolds, - Springer-Verlag,
Graduate Texts in Mathematics, Vol. 218, 2003. Appendix + Chapters 1-4, 6
(Chapter 1 is also available on the author's web page).

     * Jet Nestruev, - Smooth manifolds and Observables . - Springer-Verlag,
Graduate Texts in Mathematics, Vol. 220, 2002. First chapters of this  
book will
introduce you to the spirit of the school.

People who have read this book and solved 70% of the exercises will be able
to
follow the veteran courses.

Accommodation, Meals and Classes

Participants will lodge in double room and have meals in the

Sanatorij "Kostromskoj"
micro-rajon Malyshkovo,
156011 Kostroma, RUSSIA.
Exact geographical coordinates are: 57Â°43'45" N, 40Â°55'27" E, 117m a.s.l.,
planet Earth.
You may also be interested at the Russian web site  
http://ptravel.ru/index.php?
menuitem=restmap&direction=4&DirID=4&RegID=60&ObjID=69.

Classes and seminars will take place in the Sanatorij itself. A detailed
schedule of the school activities will be published later.

Organizing committee:

M. BÃ¤chtold, V. Kalnitsky, G. Moreno, M. M. Vinogradov, L. Vitagliano.

Questions and suggestions should be sent to the e-address:

school09ru at diffiety.ac.ru

The Organizing Committee expresses its gratitude to those who spread the
news
about the School in their University/Department, by displaying the attached
official poster.

--
Sve najbolje, :-)
Marko

Marko Vojinovic
Institute of Physics
University of Belgrade
======================
e-mail: vmarko at phy.bg.ac.yu