School of Mathematics Colloquium

The geometry of Kac-Moody groups

by Prof. Ralf Koehl (Justus Liebig University Giessen, Germany)

Thursday, April 18, 2019 from to (Asia/Kolkata)
at AG-69
Kac and Peterson introduced a topology on real Kac-Moody
groups that is very suitable for their study. Hartnick, K. and Mars
proved that this topology turns their twin building into a topological
twin building in the sense of Kramer. More recently, Freyn, Hartnick,
Horn, K. constructed Kac-Moody symmetric spaces that share many
properties with Riemannian symmetric spaces but also allow for new
features such as their twin building at infinity, one into a future
direction, the other into a past direction.

It is my firm belief that this Kac-Moody symmetric space is the
natural geometry for the further study of arithmetic Kac-Moody groups
-- the geometry of the twin building seems a little sparse, although
it still was sufficient for Farahmand Parsa, Horn, K. to establish
strong rigidity and superrigidity properties of arithmetic Kac-Moody