17th INTERNATIONAL WORSHOP
ON DIFFERENTIAL GEOMETRIC METHODS
IN THEORETICAL MECHANICS

Levico Terme (Trento, Italy), September, 1-8, 2002

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3rd Announcement

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This year our Workshop will take place in Levico Terme, a small village near Trento (Italy), in the week September, 1-8, 2002, at the Grand Hotel Bellavista under the aegis of the International Center for Mathematical Research (C.I.R.M.) of Istituto Trentino di Cultura (http://science.unitn.it/cirm/), with the support of the Department of Mathematics of the University of Trento.

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Participants

51 researchers will participate. A list in the form of Plain-Tex file is attached to this announcement.

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Tentative Programme of the Workshop

Sunday, September 1

Arrival of Participants to the Grand Hotel Bellavista in the afternoon (Shuttle-bus from Trento Railway Station at 20.30 to the Hotel)
Dinner at the Hotel

Monday, September 2

9.00-18.30 Session on Jacobi manifolds (Organizers: Juan Carlos Marrero and Edith Padron)
9.00-10.00 Charles M. Marle: Jacobi manifolds: an introduction
10.00-10.45 Juan Carlos Marrero: Jacobi manifolds and affine bundles
10.45 Coffee break
11.15-12.00 Willy Sarlet: Lagrangian equations and affine Lie algebroids
12.30 Lunch
15.30-16.15 Pavel Urbanski: Lie brackets on affine bundles
16.30 Coffee break
17.00-17.30 David Iglesias: Jacobi groupoids
17.30-18.30 Discussion
19.30 Dinner

Tuesday, September 3

9.00-18.30 Session on Discrete systems (Organizers: Manuel de Leon and David Martin de Diego)
9.00-9.15 David Martin de Diego: Introduction to the Session
9.15-10.45 George Jaroszkiewicz: Introduction. Classical discrete mechanics
10.45 Coffee break
11.00-12.30 George Jaroszkiewicz: Discrete field theories
13.00 Lunch
15.30-16.15 Eduardo Martinez: Groupoids and discrete mechanics
16.15-17.00 Aitor Santamaria Merino: Geometric integration and Classical Field Theories
17.00 Coffee break
17.30-18.30 Discussion
19.30 Dinner

Wednesday, September 4

9.00-11.30 Session on Non commutative geometry (from the stand-point of groupoids) (Organizers: Janusz Grabowski and Jose' F. Carinena)
9.00-10.00 Jose' F. Carinena: Groupoids (Introductory talk)
10.00 Coffee break
10.30-11.30 Janusz Grabowski: Non commutative geometry (from the stand-point of groupoids)
12.00 Lunch
13.00 Excursion to Trento (visit to Buonconsiglio Castle, Gothic art in the Alps, Roman Tridentum, Cathedral, Historical Center)
20.00 Dinner

Thursday, September 5

9.00-16.30 Session Short communications (Organizer: Enrico Pagani)
9.00-9.30 Demeter Krupka: Natural bundles and the energy-momentum tensors
9.30-10.00 Fred Bloore: Connections on differential operators and their cochains
10.00 Coffee break
10.30-11.00 Geoff Prince: EDS and the inverse problem
11.00-11.50 Jules Beckers: On some recent quantum deformations in particle physics
12.30 Lunch
15.30-16.00 Paola Morando: Variational principles and Liouville dynamics
16.00-16.30 Giorgio Tondo: The quasi-bihamiltonian formulation of the Lagrange top
16.30 Coffee break
17.00 Organization of the 18th Workshop on DGMTM
19.30 Conference dinner

Friday, September 6

9.00-12.30 Session on Riemannian geometry - symmetric spaces (Organizers: Mike Crampin and Gerard Thompson)
9.00-10.00 Mike Crampin: Riemannian geometry - symmetric spaces
10.00 Coffee break
10.30-11.30 Gerard Thompson: Riemannian geometry - symmetric spaces
11.30-12.00 Mariano Santander: Division algebras and the classification of simple Lie algebras and of symmetric homogeneous spaces
12.30 Lunch
15.30-16.30 Session Short communications (Organizer: Enrico Pagani)
15.30-16.00 Jozsef Szilasi: Differential calculus along the tangent bundle projection
16.00-16.30 Peter Nagy: Lie theory of Bol loops and algebras
16.30 Coffee break
17.00-19.00 free time for discussion
19.30 Dinner

Saturday, September 7

9.00-12.00 Session Short communications (Organizer: Enrico Pagani)
9.00-9.30 Olga Krupkova: Recent results in the geometry of non-holonomic systems
9.30-10.00 Giovanni Giachetta: Invariant measures and the dynamics of non-holonomics systems
10.00 Coffee break
10.30-11.00 Emanuele Fiorani: Connection and curvature in Classical Mechanics
11.00-12.00 Discussion
12.30 Lunch
Afternoon free for discussion
16.30 Coffee break
19.30 Dinner

Sunday, September 8

Departure in the morning of Participants

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Accommodation

Participants will be lodged at Grand Hotel Bellavista in Levico Terme (http://www.ghbellavista.com/). The lecture room is inside the Hotel. Price for an all-in arrangement (i.e. full board accommodation) will be as follows:

- 58 EURO per participant per night in single room (their number is limited),
- 52 EURO per participant per night in double room,
- 65 EURO per participant per night in double room (single use).

A limited amount of money is available for covering part of the living expenses. We hope to reduce the above prices of about 30%.
Participants will pay living expenses directly to the Grand Hotel Bellavista during the Workshop.

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Location and travel information

Levico Terme is a small village located about 20 km east from Trento, close to a lake and surrounded by Dolomiti mountains. Geographical and historical information on Trento and the region Trentino can be found at  http://www.unitn.it/trentino/trentino.html .
Levico is connected to Trento by train and by bus. Trento is connected by train to Verona (92 km), Milano (240 km), Venezia (212 km), where there are international airports.
On the arrival day, we plan to organize a shuttle-bus from Trento Railway Station (departure at 20.30) to the Grand Hotel Bellavista in Levico. Participants are kindly requested to notify the arrival time in Trento and if they are interested in the shuttle-bus to Enrico Pagani.
More details on the place of the Workshop and travel information (including train time-table) can be found at http://www.science.unitn.it/cirm/travelbella.html .
 
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Trento, July 29, 2002

Enrico Pagani
Dipartimento di Matematica
Universita’ di Trento
38050 Povo, TRENTO (Italy)
e-mail: pagani@science.unitn.it
phone: +39-0461-881659 (office)