Higher-dimensional Dehn functions for S-arithmetic groups
Seminar
Speaker
Prof. E. Leuzinger, Institute for Algebra and Geometry KIT, Germany
Date
18/03/2012 - 12:00Add to Calendar
2012-03-18 12:00:00
2012-03-18 12:00:00
Higher-dimensional Dehn functions for S-arithmetic groups
A group $\Gamma$ if of type $F_k$ if it admits anEilenberg 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.
אוניברסיטת בר-אילן - המחלקה למתמטיקה
mathoffice@math.biu.ac.il
Asia/Jerusalem
public
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.
תאריך עדכון אחרון : 11/03/2012
