• Istituto Italiano per gli Studi Filosofici, Naples;
• Universita' degli studi di Salerno;
• Gruppo Nazionale per le Strutture Algebriche, Geometriche e le loro Applicazioni ;
• Dipartimento di Matematica ed Applicazioni dell'Universita' degli Studi di Napoli "Federico II"

Contents

1. Reasons
2. List of speakers
3. List of participants
4. Scientific committee
5. Program
6. Organizing committee
7. Conference Site, Tourist Information and Accommodation

List of speakers

Scientific Committee

E. Arbarello (Roma), F. Baldassarri (Padova), U. Bruzzo (Trieste), F. Catanese (Bayreuth), C. Ciliberto (Roma), A. Collino (Torino), M. Cornalba (Pavia), C. De Concini (Roma), B. Dubrovin (Trieste), L. van Geemen (Pavia), P. Griffiths (Princeton), V. Kac (Boston), K. O'Grady (Roma), C. Procesi (Roma), J. Stasheff (Chapel Hill), A. M. Vinogradov (Salerno).

Program

• 9:00 - 9:30 Registration
• 9:30 - 10:30 E. Arbarello Recent results on tautological classes in the moduli space of Riemann surfaces.
• 10:30 - 11:30 S. Igonin Coverings and the fundamental group in the category of partial differential equations.
• 11:30 - 12:00 Coffee break.
• 12:00 - 13:00 V. Kac Vertex algebras as quantum Poisson algebras.
• Lunch
• 15:00 - 15:20 Raouf Chouikha Remark on a conjecture of conformal transformations of Riemannian manifolds.
• 15:25 - 15:45 Murat Tosun Generalized time like ruled surface of the Minkowski Space R₁ⁿ.
• 15:50 - 16:10 Miroslav Doupovec On the underlying bundle functors.
• 16:10 - 16:25 Break.
• 16:25 - 16:45 Arthemy Kiselev Conservation laws for the Toda equations, associated with the semisimple Lie algebras.
• 16:50 - 17:10 Andrei Agrachev A Variational Approach to Differential Invariants (I).
• 17:15 - 17:35 Igor Zelenko A Variational Approach to Differential Invariants (II).

• 9:30 - 10:30 P. Griffiths Hodge Theory and Geometry.
• 10:30 - 11:30 A. Bogomolov On the structure of the universal coverings of complex projective manifolds.
• 11:30 - 12:00 Coffee break.
• 12:00 - 13:00 M. Kazarian Enumeration of multisingularities of mappings.
• Lunch
• 15:00 - 15:20 Rémi Léandre Connes-Hida Calculus and the index theorem.
• 15:25 - 15:45 Roberto Ferreiro Pérez Equivariant characteristic classes in the bundle of connections and Gauge theories.
• 15:50 - 16:10 Marcella Palese Variational symmetries, superpotentials and generalized Jacobi morphisms.
• 16:10 - 16:25 Break.
• 16:25 - 16:45 Ernst Ruh Barycenter in Geometry and Maximum Likelyhood Estimator in Statistics.
• 16:50 - 17:10 Josef Janyska Reduction theorems for general linear connections.
• 17:15 - 17:35 Jan Kurek - Wlodzimierz M. Mikulski Canonical affinors on the tangent bundle of a symplectic manifold
• 17:40 - 18:00 Miodrag Velimirovic An Application of Geometry at Gear Design

• 9:30 - 10:30 M. Berger Elementary geometry and dynamics: introduction to some work of Richard Schwartz.
• 10:30 - 11:30 A. Sossinsky On the recognition of manifolds.
• 11:30 - 12:00 Coffee break.
• 12:00 - 12:30 L. van Geemen Hodge Conjecture for Products of K3 Surfaces.
• Lunch
• 15:00 - 15:20 Ljubica Velimirovic Infinitesimal Deformations in the Non-symmetric Affine Connection Space (jointly with S. Mincic, M. Stankovic).
• 15:25 - 15:45 Alberto De Sole Vertex algebras generated by primary fields of conformal weights 1 and 3/2.
• 15:50 - 16:10 Evgueni V. Ferapontov Projective differential geometry of higher reductions of the two-dimensional Dirac operator (jointly with L. Bogdanov).
• 16:10 - 16:25 Break.
• 16:25 - 16:45 Jan Kubarski Locally conformal symplectic structures and their generalizations from the point of view of Lie algebroids (jointly with Roman Kadobianski).
• 16:50 - 17:10 Fedor Duzhin Lower bounds for the number of closed billiard trajectories of period 2 and 3 in manifolds embedded in Euclidean space.
• 17:15 - 17:35 Yuli Rudyak Affine linking invariants and wave fronts (jointly with Chernov).
• 17:40 - 18:00 Elham Izadi Curves in abelian varieties.
• 20:30 Social Dinner at the Hotel Royal, Via Partenope n. 38.

• 9:30 - 10:30 F. Catanese Factorizations in the mapping class-group and 1-connected counterexamples to the conjecture of Friedman Morgan.
• 10:30 - 11:30 Z. Ran Counting rational curves with given normal bundle in Pⁿ.
• 11:30 - 12:00 Coffee break.
• 12:00 - 13:00 A. Onishchik Classification problems concerning complex supermanifolds.

Organizing committee

A. De Paris (Napoli), G. Rotondaro (Napoli), G. Sparano (Salerno), A. M. Vinogradov (Salerno), R. Vitolo (Lecce).

Deadline for applications: May 15, 2003.

Accommodation: Participants are requested to provide to their own accommodation. In the case of some problems please contact us. A list of hotels (with respective prices) selected by us can be found here. Note that the list refers to prices of 2001. However, the difference with actual prices should be small. We will update the table of prices as soon as possible.

Contact information:

• E-mail: curgeo @ diffiety.org or curgeo @ diffiety.ac.ru.
• 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).
  
• Fax: +39 089 965226
• Phone: +39 089 965395

Questions and suggestions should go to curgeo @ diffiety.ac.ru .