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Generalized affine buildings and Base change


Speaker: Petra Schwer, Universitaet Muenster
Location: 2112 MSB
Start time: Tue, Jan 19 2010, 4:10PM

The major part of this talk will be spent to explain the notion of a (generalized) affine building and discuss some of its basic geometric and combinatorial properties. Generalized affine buildings are certain unions of (possibly infinitely many) copies of a model space which in turn is defined with respect to (finite) reflection group and a totally ordered abelian group (e.g. the integers in the classical case). Further I will explain some recent development in the theory of generalized affine buildings: It turns out that one can associate to a morphism from an ordered abelian group A_1 to another A_2 together with a generalized affine building X defined over A_1, a morphism to another building $Y$ which is then defined over A_2. I will explain this result and mention an application.