Past Algebra Seminar

29 May 2007
Dr. Ben Klposch
  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).