## Minmax minimal surfaces in arbitrary codimension with

We shall present a procedure which to any admissible family

of immersions

of surfaces into an arbitrary closed riemannian manifolds assigns a

smooth, possibly branched, minimal surface

whose area is equal to the width of the corresponding minmax and whose

Morse index is bounded by the

dimension of the familly. We will discuss the question of bounding the

Morse index + Nullity from below as well as possible extensions of

this procedure to more general families.