  We study the problem of obtaining de Sitter and inflationary vacua from
dimensional reduction of double field theory (DFT) on nongeometric string
backgrounds. In this context, we consider a new class of effective potentials
that admit Minkowski and de Sitter minima. We then construct a simple model of
chaotic inflation arising from T-fold backgrounds and we discuss the
possibility of trans-Planckian field range from nongeometric monodromies as
well as the conditions required to get slow roll.
