Explore a thought-provoking lecture on the challenges and opportunities of applying classical algorithms to real-world problems. Delve into the tension between abstract algorithm design and practical application, using the maximum flow problem as a case study. Discover how neural algorithmic reasoning offers a promising approach to bridge this gap, enabling reasoning on natural inputs. Learn about the potential of combining deep neural networks as feature extractors with classical algorithmic techniques to enhance problem-solving in reinforcement learning environments like Atari games. Gain insights from Petar Veličković of DeepMind Technologies as he presents cutting-edge research in this field, drawing from the historical context of algorithm design to modern advancements in machine learning.