  A classification of $\operatorname{SL}(n)$ and translation covariant
Minkowski valuations on log-concave functions is established. The moment vector
and the recently introduced level set body of log-concave functions are
characterized. Furthermore, analogs of the Euler characteristic and volume are
characterized as $\operatorname{SL}(n)$ and translation invariant valuations on
log-concave functions.
