This lecture covers the recursive version of the insertion sort algorithm, where the sorting process is designed in a recursive manner, focusing on recursion and dynamic programming concepts. The instructor explains the recursive approach step by step, illustrating the recursive calls and the insertion of elements in the sorted array. The lecture concludes by highlighting that while the recursive solution may not always be the most efficient, it can be simpler and more practical in certain scenarios, such as sorting and processing recursive data structures like trees and graphs.