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Institute of Algebra and Geometry
Research Group Metric Geometry
AG Geometrie
RG-Seminar: Talk by Richard Weiss

Descent in Buildings

  • Speaker: Prof. Richard M. Weiss
  • Place: SR 2.059 (20.30)
  • Time: 8.7.2015, 9:45 - 11:15
  • Invited by: JProf. Dr. Petra Schwer

Abstract

Let $\Delta$ be a building and let $\Gamma$ be a subgroup of its automorphism group. The set of residues stabilized by $\Gamma$ is partially ordered by inclusion. The minimal ones we call $\Gamma$-chambers, the next larger ones we call $\Gamma$-panels and we let $\tilde\Delta$ be the graph whose vertices are the $\Gamma$-chambers and whose edges are the pairs of $\Gamma$-chambers contained in a single $\Gamma$-panel.

In joint work with Bernhard Mühlherr, we determine exactly when the graph $\tilde\Delta$ has the structure of a building. In this talk, I will describe this result and say something about applications.

Tea at 09:15 h in room 1.062 (20.30).