Definable quotients of locally definable groups
  We study locally definable abelian groups $\CU$ in various settings and examine conditions under which the quotient of $\CU$ by a discrete subgroup might be definable. This turns out to be related to the existence of the type-definable subgroup $\CU^{00}$ and to the divisibility of $\CU$. 
Pantelis Eleftheriou and Ya'acov Peterzil
math.LO