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Explore a comprehensive lecture on the ongoing discoveries in the classical field of resolution of singularities in characteristic zero. Delve into the unexpected findings and fundamental advancements made by Michael Temkin, Dan Abramovich, and Jarek Włodarczyk since 2015. Gain insights into how these new discoveries provide a more conceptual view of previously established knowledge in this thoroughly explored area of mathematics. Learn about the unified perspective on their various projects and, time permitting, get a glimpse into their new work in progress with André Belotto. Challenge the notion that this field was nearly complete and discover the exciting developments that continue to emerge in resolution of singularities research.