International Congress on Differential Geometry

in Memory of Alfred GRAY

September 18-23, 2000, Bilbao


TENTATIVE PROGRAMME

 


FCCEE = Facultad de Ciencias Economicas y Empresariales

AM = Aula Magna in FCCEE

SG = Salon de Grados in FCCEE

LO = Laboratorio de ordenadores in FCCEE


Plenary Lectures: 45 minutes of lecture, 10 minutes of discussion

Oral Communications: 15 minutes of exposition, 5 minutes of discussion

                                or: 25 minutes of exposition, 5 minutes of discussion


SUNDAY, September 17, 2000


18,00-21,00 Reception (Place: Colegio Mayor Miguel de Unamuno)



MONDAY, September 18, 2000


MORNING

9,00-10,00 Reception (FCCEE, corridor "Decanato")

10,00-10,25 Opening Ceremony (AM)

10,25-10,50 Plenary Lecture (AM)

         S. Salamon (University of Oxford, England)

         "A Mathematical Tribute"

10,50-11,20 Coffee break

11,20-12,15 Plenary Lecture (AM)

         Th. Banchoff (Brown University, USA)

         "Internet-Based Differential Geometry of Surfaces in Three- and Four-Space"

12,20-13,00 Plenary Lecture (AM)

         H. Ferguson (Laurel, Maryland, USA)

         "Mathematical Theorems in Stone and Bronze, including my Sculptural Collaboration with Alfred Gray"

13,15-15,00 Lunch in Colegio Mayor Miguel de Unamuno

AFTERNOON

SESSION A (AM) SESSION B (SG)
15,30-16,00 Y. Tazawa (Japan) "Visualization of flat slant surfaces in the complex 2-space"

16,00-16,30 R. Sulanke (Germany) "Mobius Geometry and Mathematica"

15,30-16,00 P. Walczak (Poland) "Prescribing mean curvature vectors for foliations"

16,00-16,30 V. Vershinin (Russia) "Virtual Braids, Braid-Permutations and Homology"


16,35-17,30 Plenary Lecture (AM) and Presentation of LO

         P. Wellin (Wolfram Research, Inc., USA)

         "Mathematica 4.0 and Beyond"

17,30-17,55 Coffee Break

SESSION A (AM) SESSION B (SG)
17,55-18,15 R. López (Spain) "How to use Mathematica to find cyclic surfaces of constant curvature in Lorentz-Minkowski space"

18,15-18,35 S. López de Medrano (Mexico) "On Alfred Gray's elliptic catenoid"

18,35-18,55 L. del Riego (Mexico) "Geometry of the exceptional map(s) for nonlinear connections"

17,55-18,15 A. Skopenkov (Russia) "The Wu invariant, the Haefliger-Hirsch invariant and knotted tori"

18,15-18,35 M. Cañadas-Pinedo (Spain) "Pfaffian Systems Characterizations: Consequences in Dimension Five"

18,35-18,55 G. Gentili (Italy) "Boundary Behaviour and Linear Fractional Models for Holomorphic Self-Maps of the Unit Ball"


19,00-20,00 Mounting of Posters


20,00-21,00 Video Conference (AM)

         S. Wolfram ( Wolfram Research Inc., USA)

         "The Space of Possible Mathematics"



TUESDAY, September 19, 2000


MORNING

9,00-9,55 Plenary Lecture (AM)

         K. Grove (University of Maryland, USA)

         "On the Role of Symmetries in Riemannian Geometry"

10,00-10,55 Plenary Lecture (AM)

         S. Gindikin (Rutgers University, USA)

         "Complex Geometry of Real Symmetric Spaces"

10,55-11,20 Coffee break

SESSION A (AM) SESSION B (SG)
11,20-11,50 K. Tsukada (Japan) "The Singer invariant of homogeneous spaces"

11,50-12,10 Z. Rakic (Yugoslavia) "On 4-dimensional neutral Osserman manifolds"

12,15-12,35 S. Nikcevic (Yugoslavia) "Homogeneous geodesics in homogeneous riemannian spaces"

12,35-13,05 M. J. Druetta (Argentina) "Homogeneous spaces of Iwasawa type and rank one"

11,20-11,50 I. Kolar (Czech Republic) "Prolongation of projectable tangent valued forms"

11,50-12,10 M. Doupovec (Czech Republic) "Connections and torsions on higher order tangent and cotangent bundles"

12,15-12,35 J. Bures (Czech Republic) "Conformally invariant operators of the first order"

12,35-13,05 J. Koiller (Brazil) "Nonholonomic connections following Elie Cartan"


13,15-15,00 Lunch in Colegio Mayor Miguel de Unamuno

AFTERNOON

SESSION A (AM) SESSION B (SG)
15,30-15,50 C. Gorodski (Brazil) "Representations of compact Lie groups and the osculating spaces of their orbits"

15,50-16,10 I. Agricola (Germany) "G-invariant differential operators and the Frobenius decomposition of affine G-varieties"

16,10-16,30 M. Salvai (Argentina) "Examples of affine maximal torus fibrations of a compact Lie group"

15,30-15,50 A. Nesterov (Mexico) "Smooth loops, fibre bundles and non-associative gauge theories"

15,50-16,10 L. Sabinin (Mexico) "Loop theoretic foundations of differential geometry"

16,10-16,30 A. Prástaro (Italy) "Quantum supergeometry and (co)bordism in Quantum PDEs"


16,35-17,30 Plenary Lecture (AM)

         V. Miquel (Universidad de Valencia, Spain)

         "Tubes and Comparison Theorems in Riemannian and Kahlerian Geometry"

17,30-17,55 Coffee break

SESSION A (AM) SESSION B (SG)
17,55-18,25 A. Borisenko (Ukraine) "Global structure Hopf hypersurfaces in symmetric spaces of rank one"

18,25-18,55 J. Itoh (Japan) "Gauss curvatures and tube for polyhedron"

18,55-19,15 M. Djoric (Yugoslavia) "On geodesic balls in Riemannian manifolds endowed with symmetric connection"

17,55-18,25 Y. Maeda (Japan) "Deformation quantization of Frechet-Poisson algebras -Convergence of the Moyal product-"

18,25-18,55 T. Rybicki (Poland) "On contact groupoids and Legendre bisections"

18,55-19,15 J. Janyska (Czech Republic) "Natural Poisson structures on the tangent bundle of a pseudo-Riemannian manifold"




WEDNESDAY, September 20, 2000


MORNING

9,00-9,55 Plenary Lecture (AM)

         A. Ros (Universidad de Granada, Spain)

         "Isoperimetric Problem and Willmore Problem"

10,00-10,55 Plenary Lecture (AM)

         E. Musso (Universita' de L'Aquila, Italy)

         "Geometry of Isothermic Surfaces"

10,55-11,20 Coffee break

11,20-12,15 Plenary Lecture (AM)

         M. Pinsky (Northwestern University, USA)

         "Mean Exit Time from Geodesic Spheres and Tubes"

SESSION A (AM) SESSION B (SG)
12,15-12,45 C. Costa (Brazil) "Mean curvature 1 surfaces of Costa type in hyperbolic 3-space"

12,45-13,05 E. Gallego (Spain) "Convexity in hyperbolic spaces"

12,15-12,45 P. Gilkey (USA) "Heat content and trace asymptotics for a time dependent family of Laplace operators"

12,45-13,05 A. Savo (Italy) "Heat contents asymptotics and immersions"


13,15-15,00 Lunch in Colegio Mayor Miguel de Unamuno

AFTERNOON

16,00 -- Free: tour of the main sightseeing spots in Bilbao and the surroundings areas.



THURSDAY, September 21, 2000


MORNING

10,00-10,55 Plenary Lecture (AM)

         J. A. Wolf (University of California, Berkeley, USA)

         "Complex Geometry and Representations of Lie Groups"

10,55-11,20 Coffee break

11,20-12,15 Plenary Lecture (AM)

         I. Taimanov (Russian Academy of Sciences, Novosibirsk, Russia)

         "On formality of Symplectic Manifolds"

12,15-13,00 Poster discussion with the authors

13,15-15,00 Lunch in Colegio Mayor Miguel de Unamuno

AFTERNOON

SESSION A (AM) SESSION B (SG)
15,30-15,50 G. Dloussky (France) "Holomorphic structures on 4-folds with first Betti numbers equal to 1"

15,50-16,10 G. Bor (Mexico) "On complex structures on the 6-sphere"

16,10-16,30 A. Fino (Italy) "8-dimensional hypercomplex nilmanifolds"

15,30-15,50 E. Loubeau (France) "p-Harmonic morphisms"

15,50-16,10 S. Montaldo (Italy) "Biharmonic curves on a surface"

16,10-16,30 C.J.C. Negreiros (Brazil) "Harmonic surfaces on flag manifolds"


16,30-16,55 Coffee break

SESSION A (AM) SESSION B (SG)
16,55-17,25 A. Tralle (Poland) "Symplectic manifolds with aspherical symplectic form"

17,25-17,45 T. Swift (England) "Symplectic fibrations and spaces of submanifolds"

17,50-18,20 V. Muñoz (Spain) "Asymptotically holomorphic embeddings in projective spaces and applications"

16,55-17,25 O. Gil-Medrano (Spain) "Second variation of volume and energy of vector fields. Stability of Hopf vector fields"

17,25-17,45 J. Lauret (Argentina) "The variety of Lie algebras from a riemannian viewpoint"

17,50-18,20 L. Ximin (Chine) "On Sasakian anti-holomorphic submanifolds of locally conformal Kaehler manifolds"




FRIDAY, September 22, 2000


MORNING

9,00-9,55 Plenary Lecture (AM)

         R. Bryant (Duke University, USA)

         "Pseudoholomorphic Bundles over Almost Hermitian 6-Manifolds"

10,00-10,55 Plenary Lecture (AM)

         Th. Friedrich (Humboldt Universitat, Germany)

         "Weak holonomy in dimension n=16"

10,55-11,20 Coffee break

SESSION A (AM) SESSION B (SG)
11,20-11,50 K. Sekigawa (Japan) "On the Goldberg conjecture"

11,50-12,20 O. García-Prada (Spain) "Hitchin-Kobayashi correspondence, quivers and vortices"

12,25-12,45 W. Jelonek (Poland) "Compact Kahler surfaces with harmonic $W^-$"

12,45-13,05 H. Hashimoto (Japan) "Weierstrass type formula of super-minimal J-holomorphic curves of 6-dimensional sphere"

11,20-11,50 F. Mercuri (Brazil) "Hypersurfaces of finite geometric type"

11,50-12,20 G. Toth (USA) "Rotations of isometric minimal inmersions between spheres"

12,25-12,45 L. J. Alías (Spain) "Calabi-Berstein's theorem on maximal surfaces"

12,45-13,05 Th. Vlachos (Greece) "Minimal surfaces in a sphere and the Ricci condition"


13,15-15,00 Lunch in Colegio Mayor Miguel de Unamuno

AFTERNOON

SESSION A (AM) SESSION B (SG)
15,30-15,50 V. V. Balashchenko (Belarus) "Extending an idea of A. Gray: homogeneous k-symmetric spaces and generalized Hermitian geometry"

15,50-16,10 L. Hernández-Lamoneda (Mexico) "Bochner formulae for orthogonal G-structures on compact manifolds"

16,10-16,30 J. Mikevs (Czech Republic) "Holomorphically projective mappings of almost Hermitian spaces and their Gray-Hervella classification"

16,35-17,05 H. Baum (Germany) "Twistor and Killing spinors on Lorentzian manifolds and their relations to CR and Kaehler geometry"

15,30-15,50 A. R. Chouikha (France) "Yamabe metrics with non parallel Ricci tensor"

15,50-16,10 J. Berndt (England) "Einstein-like manifolds which are not Einstein"

16,10-16,30 M. Sekizawa (Japan) "Can tangent sphere bundles over Riemannian manifolds have strictly positive curvature?"

16,35-17,05 L. Guijarro (Spain) "Normal holonomy group, characteristic classes and rigidity in nonnegative curvature"


17,05-17,30 Coffee break

SESSION A (AM) SESSION B (SG)
17,30-17,50 P. Piccini (Italy) "Some new 3-Sasakian manifolds in dimension 11 and 15" 17,30-17,50 O. I. Mokhov (Russia) "Compatible flat metrics"

18,00-18,30 E. Calabi (USA) "On geodesics in a Function Space of Kahler metrics"

21,00 -- Congress Dinner



SATURDAY, September 23, 2000


MORNING

9,00-11,00 Round Table Discussion (AM)

Directed by Professor J. P. Bourguignon (IHES, France) and with the participation of the Professors S. Donaldson (Imperial College London, England), J. Eells (Cambridge University, England) and M. Gromov (IHES, France)

"Where does Geometry go ? A research and education perspective"

11,00-11,30 Coffee break

11,30-12,30 Concert of Classical Music

12,30-13,00 Closing Ceremony

13,15-15,00 Lunch in Colegio Mayor Miguel de Unamuno

AFTERNOON 16,00-17,30 Visit to the Guggenheim Museum


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Last modified: Friday September 13, 2000