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Explore the intricate relationship between mathematics, algebra, and artificial intelligence in this public lecture delivered at the Hausdorff Institute for Mathematics in Bonn, Germany. Discover how linear and non-linear algebra form the foundational structure of neural networks in machine learning, while examining the potential for AI to advance mathematical research, particularly in algebraic fields. Gain insights into the bidirectional influence between mathematical principles and machine learning applications through a personal and informal perspective on this evolving intersection. Learn about the mathematical underpinnings that make modern AI systems possible, and consider the implications of using AI tools to further mathematical discovery and research in algebra and representation theory.
