On the linearity of lattices in affine buildings
Groups acting on CAT(0) spaces September 27, 2016 - September 30, 2016
Location: SLMath: Eisenbud Auditorium
CAT(0) space
negative curvature manifolds
Riemannian geometry
buildings and complexes
affine buildings and cells
algebraic combinatorics
Bruhat-Tits construction
automorphism groups
Margulis superrigidity
discrete group actions
54C40 - Algebraic properties of function spaces in general topology [See also 46Exx]
01-11 - Research data for problems pertaining to history and biography
55R35 - Classifying spaces of groups and $H$H-spaces in algebraic topology
20Exx - Structure and classification of infinite or finite groups
00A35 - Methodology of mathematics {For mathematics education, see 97-XX}
14619
One of the most prominent class of CAT(0) spaces is the class of Affine Buildings.
In dimension 1, an affine building is nothing but a tree. In dimension 3 and higher (irreducible) affine buildings are always classical, that is they are the Bruhat-Tits buildings of algebraic groups over valued fields. In dimension 2 there are loads of exotic (ie, non-classical) buildings. Some are intimately related with some sporadic finite simple groups. Many have a cocompact group of isometries.
Bader. Notes
|
Download |
14619
H.264 Video |
14619.mp4
|
Download |
Please report video problems to itsupport@slmath.org.
See more of our Streaming videos on our main VMath Videos page.