Differentiable stacks are used as models in Differential
Geometry for singular spaces such as orbifolds, quotient spaces, and
leaf spaces. On the other hand, Contact Geometry can be seen as the odd-
dimensional counterpart of Symplectic Geometry. In the past decade,
Getzler introduced the notion of Shifted Symplectic Structures on
Differentiable Stacks, inspiring significant developments in the field.
In this talk, we present a definition of Shifted Contact Structures on
Differentiable Stacks and explore some interesting examples. The
presentation is based on a joint work with A. Tortorella and L. Vitagliano.