Abstract for the talk on 03.07.2019 (16:30 h)Felix Klein Colloquium
Petra Schwer (Otto von Guericke University Magdeburg)
What is a building and why do we care?
Buildings were introduced by Tits and Bruhat-Tits as abstract analogs of symmetric spaces associated to algebraic groups over non-archimedian local fields with or without valuations.
Since then their theory has been enriched by a variety of methods as well as numerous applications: Buildings may be descibed as subgroup structures, as metric spaces or combinatorial objects with a close interplay between these different viewpoints.
In this talk I would like to introduce you to the theory of buildings and highlight some of their applications.