2 KI-I + K2MnVIO4 + 2 H2O I20 + MnIVO2 + 4 KOH

This is an oxidation-reduction (redox) reaction:

MnVI + 2 e- MnIV (reduction)

2 I-I - 2 e- 2 I0 (oxidation)

K2MnO4 is an oxidizing agent, KI is a reducing agent.