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XI Current Geometry

Vietri sul Mare (Salerno), Italy,
June, 16-20, 2010.
Lloyd's Baia Hotel,
Via Madonna degli Angeli 19, 84019 Vietri sul Mare (Salerno), Italy.

Supported by
  • G.N.S.A.G.A. (Italy)
  • Dipartimento di Matematica e Applicazioni "Renato Caccioppoli" (University of Naples "Federico II")
  • Dipartimento di Matematica e Informatica (Salerno University, Italy)
  • Istituto Italiano per gli Studi Filosofici (Naples, Italy)


The power of synthesis of Geometry, which led in the past to the formulation of “grand unification theories”, has got an essential role nowadays, especially because of the growing fragmentation of knowledge due to scientific progress. In order to avoid too a big dispersion, geometers need a constant dialogue. Therefore, a stable experience of personal meetings, apart from telematic interchanges, cannot be renounced. Current Geometry was born to allow a periodic update about actual progresses in Geometry (and its applications) on the international scene.

Confirmed invited speakers.

  • Fedor Bogomolov, USA
  • Pantelis Damianou, Cyprus
  • Janusz Grabowski, Poland
  • Dimitri Gurevich, France
  • Frederic Helein, France
  • Jerzy Kijowski, Poland
  • Alexei Kotov, Luxembourg
  • Giuseppe Marmo, Italy
  • David Martin De Diego, Spain
  • Norbert Poncin, Luxembourg
  • Gerd Rudolph, Germany
  • Alexey Sossinsky, Russia

Organizing committee.

A.Vinogradov, G.Marmo, G.Vilasi, G.Sparano, L.Vitagliano, G.Moreno.

The Organizing Committee can be contacted for any question and suggestion via the e-address:

Program and available presentations.

Wednesday, June 16

15:30—16:30 A. Vinogradov
17:00—18:00 J. Kijowski, Energy of gravitational field: a quasilocal, hamiltonian approach
18:00—18:30 G. Moreno, Deformations of 3–dimensional real Lie algebra structures

Thursday, June 17

9:30—10:30 G. Marmo, Geometry and quantum mechanics
11:00—12:00 D. Martin De Diego, Some new developments in nonholonomic dynamics: continuous and discrete 
15:30—16:30 F. Bogomolov, Geometry of complex surfaces and closed symmetric differentials
17:00—17:30 K. S. Chahal, Warped product CR–submanifolds of a T–manifold
17:30—18:00 O. G¨ursoy, The dual invariant of a line surface and space kinematics

Friday, June 18

9:30—10:30 G. Rudolph, On singular reduction and quantization of gauge models
11:00—12:00 A. Kotov, Superconnections in geometry
12:00—13:00 A. Sossinsky, Moduli spaces of planar mechanical linkages with two degree of freedom 

Saturday, June 19

9:30—10:30 N. Poncin, Quantization of singular spaces
11:00—12:00 P. Damianou, A Poisson approach to ADE singularities
12:00—13:00 F. H´elein, A geometric framework for conservation laws and their charges
15:30—16:00 L. Vitagliano, Lagrangian-Hamiltonian higher derivative field theory
16:00—16:30 E. Vishniakova,
On complex homogeneous supermanifolds
17:00—17:30 D. Malinin, On finite arithmetic groups and their geometric applications
17:30—18:00 A. K. Meraj, Totally Umbilical pseudo–slant submanifolds of nearly K¨ahler manifold 

Sunday, June 20

9:30—10:30 D. Gurevich, Braided geometry and its applications
11:00—12:00 J. Grabowski, Courant brackets, Dirac structures, and generalized geometries
12:00—13:00 G. Gaeta, Twisted versus gauge symmetries

A PDF copy of the program can be downloaded here.

Conference poster.

A PDF electronic copy of it can be downloaded here (A4, 571k).


Vietri sul Mare ("Vietri on the Sea") in an eight-thousands-inhabitants village northward off Salerno. Since year 1997 it is an UNESCO world heritage treasure, together with the rest of the renowned Amalfitan coast.
View of Vietri from the highway.

Lloyd's Baia Hotel.

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