# Higher-dimensional Dehn functions for S-arithmetic groups

Sun, 18/03/2012 - 12:00

Speaker:

Prof. E. Leuzinger, Institute for Algebra and Geometry KIT, Germany

Seminar:

Abstract:

A group $\Gamma$ if of type $F_k$ if it admits an

Eilenberg MacLane complex with finite k-skeleton.

For such groups one can define the (k-1)-dimensional Dehn function,

which measures the difficulty to fill (k-1)-cycles by k-chains.

I will describe the optimal higher-dimensional Dehn functions for uniform

S-arithmetic subgroups of reductive groups over global fields.

I will also discuss a conjectural picture for non-uniform S-arithmetic

groups.

- Last modified: 11/03/2012