Abstract:

Every reductive algebraic group acts nicely on a geometric object, the spherical building, and the simple algebraic and  classical groups are characterized by that property as Tits showed.

Ronan and Tits generalized the concept of spherical buildings to that of twin buildings in order to obtain geometric objects for the Kac-Moody groups. Twin buildings are defined in such a way that they possess similar properties to those of spherical buildings; for instance the Moufang property - named after Ruth Moufang - can also be defined for twin
buildings.

We will introduce the relevant terminology and discuss whether a Kac-Moody group is characterized by its action on a Moufang twin building. Further we will ask (and answer) some fundamental questions about these objects.

Tee/Kaffee/Gebäck

ab  16:45 Uhr,

Arnimallee 3,  Raum 006

-------------------------------

Koordinator:  Prof. Dr. Alexander Schmitt

-------------------------------