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From jff@maths.nott.ac.uk Wed Apr  3 17:50:41 2002

Forwarded info about the V Diffiety school in the geometry of Partial
Differential Equations: see below

 Joel Feinstein             Phone:  +44-115-9514968
 Pure Mathematics Division  FAX:    +44-115-9514951
 School of Math. Sciences   e-mail: Joel.Feinstein@nottingham.ac.uk
 University of Nottingham   Web: http://www.maths.nott.ac.uk/personal/jff
 University Park            For Feinstein web page navigation, see
 Nottingham NG7 2RD, UK     http://www.maths.nott.ac.uk/~jff/feinlinks.html


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Date: Wed, 27 Mar 2002 16:57:24 +0000 (GMT)
From: David Riley 
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---------- Forwarded message ----------
Date: Wed, 27 Mar 2002 17:21:39 +0100
From: Diffiety School 
Subject: Diffiety School

***********************************************************

Dear colleague,

we are organising this summer from July 19 to July 31
the fifth Diffiety school in the geometry of Partial
Differential Equations. Below you will find
information about courses, programs and other activities.
We would be very grateful to you for informing your graduate and
undergraduate students, research fellows  and any other colleague
who could be interested in.
 More information can be found on our web site
http://www.diffiety.ac.ru/

 You may also wish to reply to the following address:

school@diffiety.org

With best regards,

                      The Organising Committee


***********************************************************************

V Diffiety school in the geometry of Partial Differential Equations
          Santo Stefano del Sole (Avellino),
             Italy, July 19 --- 31, 2002
                     1st Announcement
***********************************************************************
In  co-operation with
-- Diffiety Institute (Russia),
-- Istituto Italiano per  gli Studi Filosofici,
-- Municipality of Santo Stefano del Sole (AV), Italy,
and under the scientific direction of Prof. A. M. Vinogradov
(Universita' di Salerno, Italy, and   Diffiety Institute, Russia),
          we are announcing the fifth Diffiety School.

The aim of the school is to introduce undergraduate and graduate
students  in Mathematics and Physics, as well as post-doctoral
researchers and  other mathematicians into a recently emerged area
of mathematics and theoretical physics:

                    Secondary Calculus
Secondary calculus is the result of a natural evolution of the
classical geometrical  theory of  partial differential equations
(PDE) originated by Sophus Lie. In particular, it allows the
construction of a general theory of PDE, in the same manner as
algebraic geometry does with respect to algebraic equations. It
became also clear that secondary calculus is a natural language
for quantum field theory, just in the same way as standard
calculus is for classical physics. From the mathematical point of
view secondary calculus is a complex mathematical construction
putting into a natural interrelation many parts of modern
mathematics such as commutative and homological algebra, algebraic
and differential topology, differential geometry, etc. The
strategic goal of the school is to involve interested participants
into a series of large scale research programs the Diffiety
Institute is launching.

 A first idea of the area can be got from  the books:

1. Symmetries and Conservation Laws for Differential
Equations of Mathematical Physics, --- AMS, Mathematical
Monographs, volume 182, 1999.

2. A. M. Vinogradov, Cohomological Analysis of Partial
Differential Equations and Secondary Calculus, --- AMS,
Mathematical Monographs, volume 204, 2001.

3. J. Nestruev,  Smooth manifolds and Observables ---
MCCME, Moscow 2000 (in Russian), to appear in Graduate Texts of
Mathematics series of Springer-Verlag New York.

In this edition of the school the following two courses will be
given:

1. Differential Calculus over Commutative Algebras and
Smooth Manifolds (suggested to beginners);

2. Infinite Jets and Diffieties (suggested to more
experienced participants).

The arrival day is Thursday, July 18. The courses will start Friday
morning, July 19, and will continue until Wednesday afternoon, July 31.

For detailed programs see our web site: http://diffiety.ac.ru.

During the School there will be discussed the following starting
programs, intended to involve interested participants into our
research projects:
1. "Einstein",
2. Singular Lagrangians and Hamiltonian formalism,
3. Differential Invariants: theory and applications,
4. Towards Differential Algebraic Geometry.
More detailed descriptions of these projects can be found on our
web site http://diffiety.ac.ru.

We are also planning to organize a scientific session on the base
of research interests of the participants

 Lecturers and tutors in the School:

 A.DeParis (Universita' "Federico II" di Napoli),
 S.Igonin (Independent University of Moscow),
 F.Pugliese (Universita' di Salerno),
 A.Verbovetsky (Independent University of Moscow, Diffiety Institute),
 A.Vinogradov (Universita' di Salerno, Diffiety Institute),
 M.Vinogradov (Diffiety Institute)
 R.Vitolo (Universita' di Lecce, Diffiety Institute)

 Organizing committee:

 D.CatalanoFerraioli, A.DeParis, C.DiPietro, G.Manno, R.Piscopo,
 F.Pugliese,  G.Rotondaro, F.Strazzullo, R.Vitolo.

                  Registration, accommodation and fee.

Anyone who would like to participate to the School is invited to fill up
the form attached below and return it, both via electronic and ordinary mail, as soon
as possible and not later than
June 15, 2002. The registration fee amounts to 100 Euro. The organizers
can offer a reduced course fee to a very limited number of participants.
To apply, please contact the organizer by e-mail. Any payment details
can be found on the web page. There are two possibilities of
accommodation: free and on charge of participants. Obviously,
the first one is less luxurious.

   Here follows the registration form.
   Please, fill up the form and send it to the following
   addresses:

  1 - E-mail: school@diffiety.org

  2 - Surface mail:
   Prof. A. M. Vinogradov,
   Universita' degli Studi di Salerno,
   Facolta' di Scienze,
   Dipartimento di Matematica e Informatica,
   Via Salvador Allende,
   84081 Baronissi (Salerno).

   For further information you can contact us:
   Telephone: +39 089 965395
   Fax: +39 089 965438
   E-mail: school@diffiety.org
   or find the above information and form at our web site
   http://diffiety.ac.ru


                 V    Diffiety school
Santo Stefano del Sole (Avellino), Italy, July 19 --- 31, 2002

                 Registration form

I would like to attend the courses of the V Diffiety School.

Name: _____________________________________________________

Place and date of birth: __________________________________

Address: __________________________________________________

A) I am currently taking a degree (or I have a degree) in
___________________________________________________________

The subject of my thesis is _______________________________

The advisor of my thesis is _______________________________

B) I am doing a Ph.D. in __________________________________

The subject of my thesis is _______________________________

The advisor of my thesis is _______________________________

C) Current position: ______________________________________

Research interests: _______________________________________

E-mail: ___________________________________________________

Fax: _____________________  Telephone: ____________________

Date: _____________________________________________________

Signature (for surface mail): _____________________________
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