**SMS scnews item created by Boris Lishak at Thu 24 Oct 2019 1144**

Type: Seminar

Distribution: World

Expiry: 28 Oct 2019

**Calendar1: 28 Oct 2019 1200-1300**

**CalLoc1: Carslaw 375**

CalTitle1: De Schepper -- Point-line geometries related to (exceptional) spherical buildings

Auth: borisl@dora.maths.usyd.edu.au

### Geometry and Topology Seminar

# Point-line geometries related to (exceptional) spherical buildings

### Anneleen De Schepper (Ghent)

October 28, 12:00-13:00 in Carslaw 375
Seminar schedule

Please join us for lunch after the talk.

**Abstract:**

In the 70'ies, Cooperstein introduced "parapolar spaces", certain point-line geometries, to axiomatically capture the Grassmannians associated to (exceptional) spherical buildings, which at their turn serve as a geometric interpretation to semisimple algebraic groups. Apart from point and lines, parapolar spaces consist of projective spaces and polar spaces. In contrast to these well-understood substructures, and although most known examples of parapolar spaces are related to buildings indeed, there is no general classification. I intend to give a gentle introduction to parapolar spaces and their relation to buildings and at the end I will discuss some partial classification results.