Buildings and Berkovich spaces

Algebra Seminar
Wednesday, March 5, 2014 - 3:00pm for 1 hour (actually 50 minutes)
Skiles 254
Annette Werner – Johann Wolfgang Goethe-Universit├Ąt (Frankfurt)
Joseph Rabinoff
The goal of this talk is to show that Bruhat-Tits buildings can be investigated with analytic geometry. After introducing the theory of Bruhat-Tits buildings we show that they can be embedded in a natural way into Berkovich analytic flag varieties. The image of the building is contained in an open subset which in the case of projective space is Drinfeld's well-known p-adic upper half plane. In this way we can compactify buildings in a natural way.