The fith talk in the fourth season of the One World Optimization Seminar given on October 11th, 2021, by Ernest K. Ryu (Seoul National University) on "Non-Nesterov Acceleration Methods for Making Gradients Small in Convex Minimization and Convex-Concave Minimax Optimization". The slides of the talk can be seen on the seminar's website at https://owos.univie.ac.at/.