JOINT MEETING AMS-UMI
Pisa, Italy, June 12-16, 2002

http://www.dm.unipi.it/~meet2002/



SPECIAL SESSION

ADVANCES

IN

DIFFERENTIAL GEOMETRY OF PDE's

AND

APPLICATIONS





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ORGANIZERS
Prof.Valentin Lychagin( NJ Institute of Technology, U.S.A.(and University of Tromso - Norway) )
e-mail: lychagin@mat-stat.uit.no
Prof. Agostino Prástaro ( University of Rome ''La Sapienza''-Rome-Italy )
e-mail: Prastaro@dmmm.uniroma1.it


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PARTIALLY SUPPORTED BY: Italian Grants: MURST-"Geometry of PDEs and Applications-Faculty of Engineering-University of Rome ''La Sapienza''; MURST-National Project:''Geometric Properties of Real and Complex Manifolds''-(Prof.V.Ancona and Prof.S.Marchiafava); Grants-University of Rome ''La Sapienza''- ''Algebraic and Differential Topology'' (Prof. S.Marchiafava)-''Geometry of noncommutative PDEs and Applications'' (Prof.A.Prástaro); GNFM/INDAM.

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PURPOSE OF THE SESSION : In this session we present some recent researches in the field of geometric theory of PDEs. Emphasis is given to some geometric approaches for solving basic problems, particularly in the theory of partial differential equations.

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SPEAKERS

D.ALEKSEEVSKY - University of Hull, U.K.,
(e-mail: D.V.Alekseevsky@Hull.ac.uk ):
Self-dual and half-flat connections over manifolds with half-flat Grassmann structure.

I.ANDERSON - Utah State University, U.S.A.,
(e-mail: anderson@math.usu.edu ):
A survey of classic integration methods for PDEs.

R.L.BRYANT - Duke University, U.S.A.,
(e-mail: bryant@math.duke.edu ):
Some recent applications of Cartan's generalizations of Lie's third theorem.

V.GOLDBERG - NJ Institute of Technology, U.S.A.,
(e-mail: vlgold@m.nijit.edu ):
Webs and partial differential equations.

H.GOLDSCHMIDT - Columbia University, U.S.A.,
(e-mail: hg@math.columbia.edu ):
The infinitesimal spectral rigidity of the Grassmannians.

D.GROSSMAN - University of Chicago, U.S.A.,
(e-mail: dan@math.uchicago.edu ):
Equivariant isometric immersion of Riemannian Manifolds with symmetries.

N.KAMRAN - McGill University, Canada,
(e-mail: nkamran@scylla.math.mcgill.ca ):
Charts for analytic Lie pseudo-groups of infinite type.

D.KRUPKA - University of Opava, and University of Brno, Czech Republic,
(e-mail: Demeter.Krupka@math.slu.cz ):
Variational sequences and their generalizations to manifolds with differential constraints.

V.LYCHAGIN - NJ Institute of Technology, U.S.A., (and University of Tromso-Norway),
(e-mail: lychagin@mat-stat.uit.no ):
On PDEs solvability and the Spencer hypothesis.

A.PRASTARO - University of Rome ''La Sapienza''-Italy,
(e-mail: Prastaro@dmmm.uniroma1.it ):
Integral bordism groups in PDEs and applications.

Th.M.RASSIAS - National Technical University of Athens-Greece,
(e-mail: trassias@math.ntua.gr ):
On a problem of Ulam in nonlinear analysis.



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PROGRAMME AND ABSTRACTS: Thursday, June 13, 2002 (Aule Polo Fibonacci: Via Buonarroti, 2)
SPEAKERS TITLE (PL)=(plenary lecture) TIME
H.GOLDSCHMIDT The infinitesimal spectral rigidity of the Grassmannians (PL) 9.00-9.45
V.LYCHAGIN On PDEs solvability and the Spencer hypothesis 9.50-10.20
Coffee break 10.20-10.45
V.GOLDBERG Webs and partial differential equations 10.50-11.30
D.GROSSMAN Equivariant isometric immersion of Riemannian manifolds with symmetries 11.35-12.15
N.KAMRAN Charts for analytic Lie pseudo-groups of infinite type 12.20-13.00
Lunch 13.00-13.45
R.L.BRYANT Some recent applications of Cartan's generalizations of Lie's third theorem (PL) 15.00-15.45
A.PRASTARO Integral bordism groups in PDEs and applications 15.50-16.20
D.ALEKSEEVSKY Self-dual and half-dual connections over manifolds with half-flat Grassmann structure 16.25-16.55
I.ANDERSON A survey of classic integration methods for PDEs (PL) 17.00-17.40
D.KRUPKA Variational sequences and their generalizations to manifolds with differential constraints 17.45-18.20
Th.M.RASSIAS On a problem of Ulam in nonlinear analysis 18.30-19.00
PROGRAMME OF SHORT COMMUNICATIONS IN AFFILIATED SESSION
SPEAKERS COUNTRY TITLE TIME
Y.-J.CHIANGU.S.A. Transversally biharmonic maps on Riemannian foliations --
O.KRUPKOVACZECH REPUBLIC Differential systems in hamiltonian field theory --
C.V.JENSENNORWAY Algebra of ODE's --

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POSTER OF THE SESSION

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