Title: Systole inequalities for arithmetic locally symmetric spaces,
Abstract: In this paper we study the systole growth of arithmetic locally symmetric
spaces up congruence covers and show that this growth is at least logarithmic
in volume. This generalizes previous work of Buser and Sarnak as well as Katz,
Schaps and Vishne where the case of compact hyperbolic 2- and 3-manifolds was
considered.