25 septembre 2002:
Jean-Louis CLERC (IECN): "Norme de Gromov de la forme de Kaehler
et
indice de Maslov"
3 octobre 2002: Caroline GRUSON (IECN): "Cohomologie de certains super-algebres de Lie"
10 octobre 2002: Helge GLOECKNER (Darmstadt): "Lie groups over non-discrete fields"
17 octobre 2002:
Vicente CORTES (IECN): "Classification des espaces symetriques
hyper-kaehleriens indefinis"
7
novembre 2002: Patrick OSTELLARI (IECN):
"Estimations du noyau de la chaleur sur les espaces
symetriques de type non-compact"
14
novembre 2002: Stephane GAUSSENT (Aarhus): "Sur
la fibre de la resolution de Bott-
Samelson"
21 novembre 2002: Michel DUFLO (Paris 7): "Formes de Cartan sur une algebre de Lie"
28 novembre 2002:
Wolfgang BERTRAM (IECN): "Varietes differentiables sur les corps topologiques:
quelques remarques et problemes"
5 decembre 2002: Bernhard KELLER (Paris 7): "Cohomologie de Hochschild et groupes de Picard derives"
12 decembre 2002:
Martin BORDEMANN (Mulhouse): "Transformations affines des groupes
de Lie
à connexion bi-invariante plate sans torsion"
19 decembre 2002: (Journees Elie Cartan)
9 janvier 2002:
Jeremie UNTERBERGER (IECN): "Vers une definition de l'invariance
schrodingerienne
en theorie des champs"
16 janvier 2003:
Takaaki NOMURA (Kyoto): "Une caracterisation de cones symetriques
au moyen des applications
de pseudoinverse"
23 janvier 2003:
Harald BILLER (Darmstadt): "Decomposition d'Harish-Chandra de certains
groupes
de Lie-Frechet"
31 janvier 2003: Corinne BLONDEL (Paris 7): "Introduction a la theorie des types ; l'exemple de Sp4"
6 fevrier 2003:
Bertrand REMY (Grenoble): "Simplicite topologique, super-rigidite
du commensurateur
et non-linearite des groupes de Kac-Moody"
13 fevrier 2003: Cecile BARLET-MATHIEU (Montpellier): "Catégories O paraboliques"
20 fevrier 2003: Ines KATH (Leipzig): "On the structure of metric Lie algebras"
27 fevrier 2003 pas de seminaire
6 mars 2003:
Martin OLBRICH (Clausthal): "Locally symmetric spaces of infinite
volume: Geometry
and spectral theory"
13 mars 2003: Elisabeth REMM (Mulhouse): "Sur certaines algebres non associatives"
20 mars 2003 :
Harald LOEWE (Braunschweig): "Actions of semisimple groups on topological
translation
planes and Cartan's theory of weights"
27 mars 2003:
Ralf GRAMLICH (Darmstadt): "Flips of twin buildings, flipflop
geometries, and their
application to group theory"
3 avril 2003:
Abdelhamid BOUSSEJRA (Kenitra): "Transformation
de Poisson generalisee et fibre en
droite sur un espace symetrique"
10 avril 2003:
Alexander DVORSKY (Miami - Dijon): "Small unitary representations
and their tensor
products"
17 avril 2003: Lacri IANCU (Besancon): "Cellules de Kazhdan-Lusztig en type B - le cas asymptotique"
15 mai 2003,
14h: Toshiyuki KOBAYASHI (Kyoto):
"Analysis on minimal representations and conformal
geometry"
16h: Ahmed INTISSAR (Rabat - Lille):
"Caracterisation de l'espace L^2 du bord de la boule
par des operateurs de type Cauchy-Szeg"o "
22 mai 2003: Takeshi KAWAZOE (Tokyo): "Real Hardy spaces on semisimple Lie groups"
5 juin 2003: Vera SERGANOVA (Berkeley - Paris VII): "Generalized Harish-Chandra modules"
12 juin 2003:
Rajagopalan PARTHASARATHY (Bombay): "A theorem
of Huang and Pandzic on a
conjecture of Vogan"
vendredi, 13 juin 2003,
Amphi 8:
Patrick OSTELLARI, soutenance de these
2 Mini-cours :
Martin OLBRICH (Clausthal):
Solvability of partial
differential equations and Hodge theory on locally symmetric spaces
jeudi 6 mars et jeudi
13 mars de 16 heures a 17 heures 30 en salle de conferences
A very useful link
between analysis, geometry, and the topology of compact manifolds is
given by Hodge
theory which identifies
the spaces of harmonic differential forms with the cohomology of the manifold.
For noncompact manifolds
such a simple relation is no longer valid. However, for manifolds
with nice
geometries one can
hope for some replacement of it. We will discuss some possible replacements
in the
case of locally symmetric
spaces.
The mini course will
be a mixture of an introductory overview over this subject of active
research and parts,
where I will
give rather complete proofs of some of the results. It should be understandable
for students
of higher semesters
with some knowledge in Lie groups and analysis.
Harald LOEWE (Braunschweig):
From hyperbolic geometry
to symmetric spaces
jeudi 20 mars et jeudi
27 mars de 16 heures a 17 heures 30 en salle de conference
The investigation of
the hyperbolic planes over the real or complex numbers, over the
quaternions and over the
octonions was the
starting point of several branches of geometry, among them the theory of
symmetric spaces
and the theory of
topological plane incidence geometries, the so-called stable planes. The
notion of a symmetric
plane (introduced
by R. Loewen) links the latter two branches: A symmetric plane is a stable
plane whose
point space is, in
addition, a symmetric space (in the sense of Loos) whose geodesic symmetries
are also reflections
in the geometric sense.
Besides the hyperbolic planes, the classical projective and affine planes
are prominent
examples of symmetric
planes. Other examples are derived from so-called Frobenius partitions
of sharply
2-transitive Lie groups.
Starting with a discussion
of hyperbolic planes and ending up with a complete list of symmetric planes,
these
lectures shall provide
a survey of the faszinating world of symmetric planes.