The imaginaries in the theory ACVF of non-trivially valued algebraically closed valued fields are classified by the so-called 'geometric' sorts. This is a fundamental result due to Haskell-Hrushovski-Macpherson. We show that the imaginaries in henselian equicharacteristic 0 valued fields may be reduced, under rather general assumptions, to the geometric sorts and to imaginaries in RV together with sorts for certain finite-dimensional vector spaces over the residue field. In the talk, I will mainly speak about an application of this reduction, which has been the initial motivation of our work: The imaginaries in the theory VFA of algebraically closed non-trivially valued fields of equicharacteristic 0, endowed with a non-standard Frobenius automorphism, are classified by the geometric sorts. This requires an understanding of imaginaries in pure short exact sequences, and a key result from Hrushovski's groupoids paper.