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Explore the development of novel birational invariants through the lens of mirror symmetry in this advanced mathematics lecture. Discover how the A-side and B-side perspectives of mirror symmetry can be combined to create powerful new tools for studying birational geometry. Learn about the theoretical foundations underlying these invariants and examine their applications through multiple concrete examples that illustrate their utility in algebraic geometry. Gain insights into cutting-edge research at the intersection of birational geometry and mirror symmetry, understanding how these mathematical concepts provide new ways to classify and distinguish geometric objects up to birational equivalence.
