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This lecture by the instructor covers the need for miniaturized microwave systems, focusing on wave engineering applications such as GPS, telecoms, and renewable energy. It explores challenges in single components and networks, emphasizing robustness and reconfigurability. The lecture delves into controlling waves over small volumes, processing waves robustly, and transmitting wave energy through disorder. It discusses wave-matter interactions, properties of natural materials, and the transition from nature to the lab. The presentation also addresses deep-subwavelength propagation, Bragg mirrors, hybridization band gaps, and subwavelength modes. Furthermore, it highlights topological wave control, active wave control, and the development of topological filters for miniaturized applications.