Speaker
Paul Ziegler
(TU Munich)
Description
In the theory of reductive groups over local fields, Bruhat-Tits buildings are the analogues of symmetric spaces in the theory of Lie groups. I will start with an introduction to these objects.
By Goldman-Iwahori, the Bruhat-Tits building of the general linear group $\mathsf{GL}_n$ over a local field $k$ can be described as the set of non-archimedean norms on the vector space $k^n$. I will explain how via a Tannakian formalism this can be generalized to a concrete description of the Bruhat-Tits building of an arbitrary reductive group. This also gives a description of the functor of points of Bruhat-Tits group schemes.
Primary author
Paul Ziegler
(TU Munich)
