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.

01.07.19 04.07.19

Summer School on Randomness and Learning in Non-Linear Algebra

MPI für Mathematik in den Naturwissenschaften Leipzig (Leipzig) E1 05 (Leibniz-Saal)
Universität Leipzig (Leipzig) Felix-Klein-Hörsaal

Saskia Gutzschebauch

Max-Planck-Institut für Mathematik in den Naturwissenschaften Contact via Mail

Paul Breiding

Technische Universität Berlin

Jesus De Loera

University of California at Davis

Despina Stasi

Illinois Institute of Technology

Sonja Petrovic

Illinois Institute of Technology