Prof. Dr. Richard Weiss, Tufts University, Vortrag: Descent in Buildings
Thursday, 02.02.2017 16:30 im Raum M5
Abstract: Let $\Delta$ be a building and let $\Gamma$ be a subgroup of ${\rm Aut}(\Delta)$.
After presenting some basic notions,
we will describe a simple necessary and sufficient condition for the set $\Delta^\Gamma$
of residues of $\Delta$ stabilized by $\Gamma$ to form a building.
When this condition is satisfied, we say that $\Gamma$ is a descent group of $\Delta$.
To each descent group $\Gamma$ there is an associated Tits index that captures
the key features of both the building $\Delta^\Gamma$ and the action of $\Gamma$.
We will describe several applications of our results involving both spherical and
affine buildings. This is joint work with Bernhard M\"uhlherr and Holger Petersson.
Angelegt am Monday, 16.01.2017 14:39 von shupp_01
Geändert am Monday, 16.01.2017 14:39 von shupp_01
[Edit | Vorlage]