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Explore the fascinating world of surreal numbers and transseries in this 58-minute lecture by Vincenzo Mantova from the University of Leeds. Delivered as part of the Thematic Program on Tame Geometry, Transseries and Applications to Analysis and Geometry at the Fields Institute, delve into advanced mathematical concepts that bridge the gap between abstract number theory and practical applications in analysis and geometry. Gain insights into the intricate relationships between these mathematical structures and their significance in contemporary mathematical research.