What is a building and why do we care?

  • Petra Schwer (Otto von Guericke University Magdeburg)
Felix-Klein-Hörsaal Universität Leipzig (Leipzig)


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.

4/24/24 4/24/24

Felix Klein Colloquium

Universität Leipzig Felix-Klein-Hörsaal

Mirke Olschewski

MPI for Mathematics in the Sciences Contact via Mail

Lukasz Grabowski

Leipzig University

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