Vorträge im Schwerpunkt Reelle Geometrie und Algebra
Donnerstag, 24. Juni 2010, um 17:00 Uhr in F426
(Schwerpunktskolloquium)
Marcello Mamino (Scuola
Normale Superiore di Pisa)
On the topology of
definably compact groups definable in o-minimal structures
O-minimal structures are a class of totally
ordered first order structures which generalize semialgebraic and
subanalytic geometries. It has been proven by Pillay in '88 that a
group definable in an o-minimal structure admits a unique definable
manifold structure which makes it into a topological group. Definable
groups, hence, generalize semialgebraic and Lie groups (in particular
semialgebraic groups and compact Lie groups are definable in suitable
o-minimal structures). We will speak about definable topological
properties of definably compact groups definable in o-minimal
structures and their connections with Lie groups.
zuletzt
geändert am 22. Juni 2010
