Universität Augsburg

Professor Dr. Makiko Sumi Tanaka
Tokyo University of Science
spricht am
Donnerstag, 5. Oktober 2017
um
11:00 Uhr
im
Raum 2004 (L1)
über das Thema:
Abstract: 
A subset of a compact Riemannian symmetric space is called an antipodal set if the geodesic symmetry at every point of the set is the identity map on the set. A typical example is a set of two points which are antipodal to each other on a sphere. An antipodal set whose cardinality attains the maximum of the cardinalities of antipodal sets is called great. A great antipodal set is a maximal antipodal set, however, the converse is not true in general. By the classification of maximal antipodal subgroups of the quotient groups of the compact classical Lie groups, we can find many maximal antipodal subgroups which are not great. In this talk I will explain some results on the classification of maximal antipodal sets of compact Riemannian symmetric spaces which is ongoing. This talk is mainly based on my joint work with Hiroyuki Tasaki. 
Hierzu ergeht herzliche Einladung. 