Seminar series
Date
Tue, 29 May 2007
17:00
17:00
Location
L1
Speaker
Dr. Ben Klposch
Organisation
Royal Holloway
I will talk about some ongoing work, motivated by a long standing problem in
the theory of dynamical systems. In particular, I will explain how p-adic
methods lead to the construction of elements in SL_n(Z) whose eigenvalues e_1,
., e_n generate a free abelian subgroup of rank n-1 in the multiplicative group
of positive real numbers. This is a special instance of a more general theorem,
asserting the existence of strongly hyperbolic elements in arithmetic subgroups
of SL_n(R).