Tuesday Seminar on Topology

Seminar information archive ~02/20Next seminarFuture seminars 02/21~

Date, time & place Tuesday 17:00 - 18:30 056Room #056 (Graduate School of Math. Sci. Bldg.)
Organizer(s) KAWAZUMI Nariya, KITAYAMA Takahiro, SAKASAI Takuya

2011/09/20

16:30-18:00   Room #056 (Graduate School of Math. Sci. Bldg.)
Clara Loeh (Univ. Regensburg)
Functorial semi-norms on singular homology (ENGLISH)
[ Abstract ]
Functorial semi-norms on singular homology add metric information to
homology classes that is compatible with continuous maps. In particular,
functorial semi-norms give rise to degree theorems for certain classes
of manifolds; an invariant fitting into this context is Gromov's
simplicial volume. On the other hand, knowledge about mapping degrees
allows to construct functorial semi-norms with interesting properties;
for example, so-called inflexible simply connected manifolds give rise
to functorial semi-norms that are non-trivial on certain simply connected
spaces.