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Topics in Geometric Group Theory

November 05, 2007 to November 09, 2007
Organized By: Noel Brady, Mike Davis, Mark Feighn
 
Parent Programs:
Geometric Group Theory
 
Return to Workshop Description
 

Coarse differentiation and the geometry of polycyclic groups

Monday November 5, 2007

09:00AM - 09:50AM

Speakers:
Alex Eskin

Abstract:

By a theorem of Mostow, a group is polycyclic if and only if
it is (up to finite groups) a lattice in a solvable Lie group. It is
conjectured that the class of polycyclic groups is closed under
the equivalence relation of quasi-isometry. I will discuss the
geometry of these groups and recent progress toward the conjecture.
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