Explore a 45-minute conference talk that delves into the recently discovered connections between Lie theory, quiver Grassmannians, and various degenerations of flag varieties. Begin with an examination of the induced Poincaré–Birkhoff–Witt filtration on highest weight representations and its relation to PBW degenerate flag varieties. Gain insights into advanced mathematical concepts and their interrelationships as presented by Evgeny Feigin at the International Mathematical Union conference. Access accompanying slides for visual aids and additional information to enhance understanding of this complex mathematical topic.