Serie dos coloquios

O departamento de Xeometría e Topoloxía veu organizando, dende o ano 1963 e máis ou menos cada cinco anos, unha serie de congresos co título xenérico de "Coloquio internacional de xeometría diferencial". A seguinte é unha breve reseña dos celebrados.


Primeiro coloquio: do 24 ó 27 de abril de 1963.
Primeiro congreso internacional de matemáticas celebrado en España.
7 conferenciantes e 17 participantes de 5 paises.
Actas publicadas pola Universidade de Santiago.

Segundo coloquio: do 25 ó 28 de outubro de 1967.
Celebrado simultaneamente á VIII Reunión de matemáticos españoles.
11 conferenciantes e 32 participantes de 6 paises.
Actas publicadas pola Universidade de Santiago.

Terceiro coloquio: do 18 ó 21 de outubro de 1972.
21 conferenciantes e 43 participantes de 5 paises.
Actas publicadas por Springer-Verlag.

Cuarto coloquio: do 18 ó 21 de setembro de 1978.
27 conferenciantes e 46 participantes de 8 paises.
Actas publicadas pola Universidade de Santiago.

Quinto coloquio: do 24 ó 28 de setembro de 1984.
Adicado especialmente a xeometría de Riemann e teoría de foliacións.
47 conferenciantes e 95 participantes de 12 paises.
Actas publicadas por Pitman.

Sexto coloquio: do 19 ó 23 de setembro de 1988.
36 conferenciantes e 95 participantes de 15 paises.
Actas publicadas pola Universidade de Santiago.

Sétimo coloquio: do 26 ó 30 de xullo de 1994.
Adicado especialmente a análise e xeometría en variedades foliadas.
27 conferenciantes e 68 participantes de 15 paises.
Actas publicadas por World Scientific Publishing.

Oitavo coloquio: do 7 ó 11 de xullo de 2008.
Adicado especialmente a teoría de foliacións e xeometría de Riemann..
77 conferenciantes e 135 participantes de 25 paises.
Actas publicadas por World Scientific Publishing.





Conferencias do primeiro coloquio:

L. M. Blumenthal (Missouri):
A report on coordinate-free differential geometry.
R. Deheuvels (Paris):
Invariants d'un système de Pfaff complètement intégrable.
A. Dou (Madrid):
Sobre la obra geométrica de Julio Rey Pastor.
A. Lichnerowicz (Paris):
Opérateurs différentiels invariants.
G. de Rham (Lausanne):
Sur les transformations topologiques d'une sphère a n dimensions en elle même.
J. Sancho San Román (Zaragoza):
Sobre una anchura afín de conjuntos convexos cerrados.
E. Vidal Abascal (Santiago de Compostela):
Sobre algunos problemas en relación con la medida en espacios foliados.

Conferencias do segundo coloquio:

M. Berger (Paris):
Variétés Kähleriennes a courbure positive.
R. Deheuvels (Paris):
Clases características en las variedades foliadas.
B. Eckmann (Zurich):
Multiplications sur les sphères et fibrés complexes.
L. Godeaux (Liége):
Congruence W associée à une suite de Laplace periodique.
A. Lichnerowicz (Paris):
Variétés Kähleriennes et premier classe de Chern.
G. de Rham (Lausanne):
Le type simple d'homotopie d'une variété differentiable.
J. Sancho San Román (Zaragoza):
Sobre existencia de medidas relativamente invariantes en un espacio de Klein.
L. A. Santaló (Buenos Aires):
Curvaturas absolutas totales de variedades contenidas en un espacio euclidiano.
E. Vidal Abascal (Santiago de Compostela):
Cuestiones en relación con las medidas en los espacios fibrados.
J. L. Viviente Mateu (Zaragoza):
Sobre la aplicación de Hopf.
T. J. Wilmore (Durham):
Curvature of closed surfaces in E^3.

Conferencias do terceiro coloquio (* = invitado):

L. A. Cordero (Santiago de Compostela):
On p-normal almost-product structures.
* C. Godbillon (Strasbourg):
Feuilletages de Lie.
H. Goldschmidt (Grenoble):
Le formalisme de Hamilton-Cartan en calcul des variations.
J. J. Kohn (Princeton):
Convexity and pseudo-convexity.
A. Kumpera (Firenze):
Invariants différentiels d'une pseudogroupe de Lie.
* A. Lichnerowicz (Paris):
L'algèbre de Lie des automorphismes symplectiques.
* R. Lutz (Mulhouse):
Structures de contact en codimension quelconque.
J. Martinet:
Classes caractéristiques des systèmes de Pfaff.
R. Moussu:
Sur les classes exotiques des feuilletages.
J.-C. Mitteau (Toulouse):
Existence des applications harmoniques.
A. M. Naveira e C. Fuertes (Santiago de Compostela):
Les zeros des opérateurs courbure holomorphes non-negatifs.
* G. Reeb (Strasbourg) :
A propos de l'equation (de Painlevé) y" = 6y^2 + x.
* B. L.Reinhart (Maryland) :
Holonomy invariants for framed foliations.
R. Roussarie:
Phénomènes de stabilité et d'instabilité dans les feuilletages.
R. Sacksteder (New York):
The measures invariant under an expanding map.
J. Sancho San Román (Zaragoza):
Sur des groupes associés à certaines variétés tridimensionelles.
* D. C. Spencer (Princeton):
Curvatures associated with differential operators.
* R. Thom (IHES) :
Sur le cut locus d'une variété plongée.
J. L. Viviente:
Sur le module derivé d'un homomorphisme.
A. G. Walker (Liverpool):
A certain conformal structure.
* T. J. Willmore (Durham) :
Minimal conformal inmersions.

Conferencias do cuarto coloquio (* = invitado):

M. Barros e J. Castellano (Granada):
Some surfaces in U(q+1)/U(1) x U(q) and U(q+2)/U(2) x U(q).
D. Bernard (Strasbourg):
Espaces homogènes et repère mobile.
F. Brickell (Southampton):
A mapping problem in Geometrical Optics.
C. Curras- Bosch (Barcelona):
A study over infinitesimal isometries in isometric inmersions.
P. Dedecker (Leuven):
On applications of homological algebra to calculus of variations and mathematical physics.
A. Diaz Miranda (Barcelona Aut.):
Sur la topologie des Grassmanniennes lagrangiennes complexes.
F. J. Echarte Reula e F. Jiménez Alcón (Sevilla):
The similarity in Gl^+(n, R) in relation with their uniparametric subgroups.
* J. Eells (Warwick):
On the surfaces of Delaunay and their Gauss maps.
J. Etayo (Madrid):
Lifts of derivations and differentiations to the tangent bundle.
J. Girbau (Barcelona Aut.):
Vanishing theorems for complex analytic foliate manifolds.
* A. Gray (Maryland):
Mean values in Riemannian manifolds.
* A. Haefliger (Genève):
Feuilletages avec feuilles minimales.
W. Klingenberg (Bonn):
Closed geodesics.
M. de León (Santiago):
Sprays and connections on the tangent bundle of order 2.
P. Libermann (Paris):
Sur la classification des structures presque hermitiennes.
* A. Lichnerowicz (College de France):
Feuilletages et déformations infinitésimales des algèbres de Lie associées.
P. Molino (Montpellier):
Problème d'équivalence pour les \Gamma-structures et problème de Darboux.
A. M. Naveira e A. Ramírez (Valencia):
A classification of a family of naturally reductive homogeneous spaces.
A. Plans (Zaragoza):
Heterogonal systems of subspaces.
J. P. Ramis (Strasbourg):
Solutions Gevrey des equations differentielles à points singuliers irreguliers.
* G. Reeb (Strasbourg):
Equations differentielles et analyse non classique (d'après J. L. Callot).
* B. L. Reinhart (Maryland):
Foliations and second fundamental forms.
A. Reventós (Barcelona Aut.):
On the Gauss-Bonnet formula on odd-dimensional manifolds.
J. Sancho San Román (Zaragoza):
Formations of associative or Lie algebras.
* L. A. Santaló (Buenos Aires):
Integral Geometry: History and Perspectives.
J. Teixidor (Barcelona):
Sur le calcul du nombre de Milnor.
L. Vanhecke (Leuven):
The volume of tubes and Riemannian geometry.

Conferencias do quinto coloquio (* = invitado):

S. I. Andersson (Clausthal):
Foliations of almost Kähler manifolds defined by a class of pseudodifferential operators.
M. Barros (Granada):
Algunos problemas de no inmersiónen Geometría de Riemann.
D. E. Blair (Michigan):
Critical points of functions of the curvature on spaces of associated metrics.
R. A. Blumenthal (St. Louis):
Sprays, fibre spaces and product decompositions.
A. Bucki (Lublin):
Group of isometries of an almost r-paracontact compact Riemannian manifold.
F. E. Burstall (Bath):
Twistor fibrations of flag manifolds and harmonic maps of a 2-sphere into a Grassmannian.
J. L. Cabrerizo e M. Fernández Andrés (Sevilla):
CR-submanifolds of a locally conformal Kähler manifold.
R. Caddeo (Cagliari):
The Almansi property of the distance function in the Riemannian context.
D. Chinea (La Laguna):
Almost complex contact metric submersions.
L. A. Cordero, M. Fernández e M. de León (Santiago):
A family of compact non-Kähler almost Kähler manifolds.
C. Currás-Bosch (Barcelona):
Infinitesimal transformations with bounded norm.
C. T. J. Dodson (Lancaster):
Fibrilations and group actions.
Th. Duchamp (Tulane):
Automorphisms of convex domains in C^n and the Lempert foliation.
F. J. Echarte (Sevilla):
Los subgrupos uniparamétricos divisores normales de un grupo de Lie.
* J. Eells (Warwick):
Certain variational principles in Riemannian geometry.
M. Fernández Andrés e J. L. Cabrerizo (Sevilla):
On CR-submanifolds of a locally conformal Kähler manifold.
M. Ferraris e M. Francaviglia (Torino):
The theory of formal connections and fibred connections in fibred manifolds.
E. Gallego e A. Reventós (Barcelona):
A note on the Santaló conjecture about convex sets in the hyperbolic plane.
J. Gancarzewicz (Krakow):
Horizontal lift of connections to a natural vector bundle.
* J. Girbau (Barcelona):
Deformations of holomorphic foliations and transversely holomorphic foliations.
F. Gómez e M. Muñoz (Mallorca):
The topological dimension of the cut locus.
* A. Gray (Maryland):
Ersatz Chern polinomial and Weyl's tube formula.
* A. Haefliger (Genève):
Pseudogroups of local isometries.
G. Hector (Lille):
Quelques propeètés cohomologiques des feuilletages Riemanniens.
P. Libermann (Paris):
Legendre transformations and homogeneous Geometry.
* A. Lichnerowicz (Paris):
Generalized foliations and local Lie algebras of Kirillov.
M. Llabres e A. Reventós (Barcelona):
Riemannian foliation complementary to a Seifert fibration.
J. F. T. Lopera (Santiago de Compostela):
Conformal vector fields on a certain class of nilpotent groups.
A. Machado e I. Salavesa (Lisboa):
Grassmann manifolds as subsets of Euclidean spaces.
A. Martínez e J. D. Pérez (Granada):
n focal sets of submanifolds in the quaternionic projective space.
X. Masa (Santiago de Compostela):
Cohomology of Lie foliations.
Pham Mau Quan (Paris):
Le probleme isoperimetrique de Poincaré en dimension n.
J. Pradines (Toulouse):
Graph and holonomy of singular foliations.
* B. L. Reinhart (Maryland):
Some remarks on the cut locus.
A. Romero (Granada):
On the Ricci tensor of a complex hypersurface in indefinite complex space forms.
S. M. Salamon (Oxford):
Minimal surfaces and symmetric spaces.
M. Saralegui (Pais Vasco):
The Euler class for flows of isometries.
J. M. Sierra (La Laguna):
On semi-invariant submanifolds of complex space forms.
U. Simon (Berlin):
Eingenvalues of the Laplacian and minimal inmersions into spheres.
M. Spera (Roma):
On Connes's C*-algebras of foliations.
H. Suzuki (Hokkaido):
An interpretation of the Weil operator \chi (y_1).
I. Vaisman (Haifa):
Lagrangian foliations and characteristic classes.
* L. Vanhecke (Leuven):
G-deformations and Weyl's tube theorem.
E. Vogt (Berlin):
Examples of circle foliations on open 3-manifolds.
* T. J. Wilmore (Durham):
The Gauss map of surfaces in R^3 and R^4.
R. A. Wolak (Krakow):
Some remarks on \nabla-G-foliations.
J. C. Wood (Leeds):
The Gauss map of a harmonic morphism.

Conferencias do sexto coloquio (* = invitado):

Iain R. Aitchison e J. Hyam Rubinstein (Melbourne):
Heaven & Hell.
L. C. de Andrés, M. Fernández, A. Gray e J. J. Mencía (Bilbao):
Compact Manifolds with Indefinite Kähler Metrics.
D. E. Blair (Michigan):
Generalizations of Myers Theorem on a Contact Manifold.
P. Bueken e L. Vanhecke (Leuven):
Isometric Reflections on Sasakian Space Forms.
B. Cenkl (Boston):
Tame Intersection Homology.
C. T. J. Dodson e S. A. Wilkinson (Lancaster):
Twist and Writhe on a Torus.
F. J. Echarte e J. Núñez (Sevilla):
Relations among Solvable Lie Algebras and their Nilpotent Derived Algebras.
* J. Eells (Warwick):
Harmonic maps between spheres and ellipsoids.
F. Etayo Gordejuela (Madrid):
Connections on Squares of Vector Bundles.
L. M. Fernández (Sevilla):
Submanifolds in Toroidal Bundles.
J. Fontanillas e F. Varela (Madrid):
Global Models of Riemannian Metrics.
G. A. Fredricks, P. B. Gilkey e P. E. Parker (Wichita):
The Higher Order Differential Invariant \alpha.
P. B. Gilkey (Oregon):
Spinors on Spherical Spaceforms.
* A. Gray (Maryland):
Compact complex and symplectic manifolds.
G. Hector (Lyon): P
Réalisation symplectique des variétés de Poisson.
D. Lehmann (Lille):
Théorème de Gauss-Bonnet pour les variétés stratifiées.
P. Libermann (Paris):
Cartan-Darboux Theorems for Pfaffian Forms on Foliated Manifolds.
* A. Lichnerowicz (Paris):
Lie Groups with Left-Invariant Symplectic or Kählerian Structures.
W. L. Lok (Hattiesburg):
Deformations of Discrete Groups of Euclidean Motions.
O. V. Manturov (Moscow):
Inclusion Method of Construction of Invariant Tensors.
S. Markvorsen (Lyngby):
A Transplantation of Heat Kernels via Harmonic Maps.
C. F. B. Palmeira (P.U.C. Brasil):
Line Fields defined by Eigenspaces of Derivatives of Maps from the Plane to Itself.
P. E. Parker (Wichita):
A new invariant of smooth manifolds.
H. Pedersen e Y. Sun Poon (Odense):
Twistorial construction of Quaternionic Manifolds.
A. Pereira do Valle e A. Verjovsky (Braga e Trieste):
Two Examples of Escaping Harmonic Maps.
J.-F. Pommaret (Paris):
Partial differential control theory snd causality.
E. A. Ruh e Ph. Tondeur (Urbana):
Almost Lie Foliations and the Heat Equation Method.
F. Sergeraert (Grenoble):
Free Loop Spaces and Computability in Algebraic Topology.
R. N. Singh (Vanarasi):
Horizontal lifts of tensor fields to the complex tangent bundle.
* D. Sullivan (CUNY-IHES):
On the structure of renormalization for one dimensional dynamical systems.
* F. J. Turiel (Málaga):
Dimension transverse des orbites d'une action feuilletée de R^n sur une variété feuilletée compacte.
* L. Vanhecke (Leuven):
Reflections and rotations on Riemannian manifolds.
J. L. Viviente (Zaragoza):
Geometría y/o Álgebra geométrica.
Pawel G. Walczak (Lodz):
An Estimate for the Second Fundamental Tensor of a Foliation.
H. E. Wilkelnkemper (Maryland):
An upper bound on ||d\phi^t|| for unit vector fields whose orbits are Geodesic.
Robert A. Wolak (Krakow):
Transverse Completeness of Foliated Systems of Ordinary Differential Equations.

Conferencias do sétimo coloquio (* = invitado):

J. A. Álvarez López e G. Hector (Santiago e Lyon):
Leafwise Cohomology, Leafwise Homologies, and Subfoliations.
A. Bucki (Oklahoma):
Geometry of Leaves of Some Distributions on Almost r-paracompact Riemannian Manifolds of P-Sasakian Type.
S. Dimiev (Sofia):
Integration of systems of Analytic Vector Fields.
J. L. Dupont (Aarhus):
Dilogarithm identities and characteristic classes for flat bundles.
K. Fukui (Kyoto):
Remark on the Actions of R^p on Foliated Manifolds II.
F. J. García e A. M. Naveira (Valencia):
Two Remarks Abour Foliations and Minimal Foliations of Codimension Greater Than Two.
H. Goda (Tokyo):
Depth of Foliations on Tunnel Number One Genus One Knot Complements.
* G. Hector (Lyon):
Espaces difféologiques quotients de feuilletages et Géométrie en dimension infinie.
* S. Hurder (Chicago):
Transverse Index Theory.
T. Ito (Kyoto):
Some examples of contact sets of spheres and Holomorphic vector fields.
D. L. Johnson e P. Smith (Lehigh):
Regularity of Mass-Minimizing One-Dimensional Foliations.
F. W. Kamber (Urbana):
Index theory for Riemannian foliations.
H. Kitahara e H. K. Pak (Kanazawa e Kyungsan):
Some Remarks on Basic L^2-Cohomology.
Y. A. Kordyukov (Ufa):
Functional Calculus for Tangentially Elliptic Operators on Foliated Manifolds.
J. Kubarski (Lodz):
Invariant Cohomology of Regular Lie Algebroids.
R. Langevin (Dijon):
Geometry and dynamics of codimension 1 foliations.
P. Libermann (Paris):
On Contact Groupoids and Their Simplectification.
M. Macho Stadler (Bilbo):
Sur la conjecture de Baum-Connes.
S. Matsumoto (Tokyo):
Codimension one foliations and Anosov flows on solvable manifolds.
* P. Molino (Montpellier):
Geometry of Lagrangian foliations and integrable Hamiltonian systems.
H. Moriyoshi (Tokyo):
On cyclic cocycles associated with general Godbillon-Vey classes.
C. C. Remsing (Windhoek):
The tangential geometry of a foliation.
* J. Roe (Oxford):
C*-algebras.
M. Saralegi-Aranguren (Lens):
Gysin Sequences.
P. A. Schweitzer, S. J. (Rio de Janeiro):
Surfaces Not Quasi-Isometric to Leaves of Foliations of Compact 3-Manifolds.
Ph. Tondeur (Urbana):
Minimal Submanifolds in Infinite Dimensions.
* E. Vogt (Berlin):
Real analytic circle foliations on 3-manifolds.