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Explore a lecture on the quantum spectrum in algebraic geometry, focusing on its relation to mirror symmetry and derived categories. Delve into the quantum blow-up formula and its applications in birational geometry, including the non-rationality of generic cubic 4-folds. Examine potential connections to the Minimal Program, categorification of intersection cohomology, and singularity resolution in positive characteristic. Learn from speaker Maxim Kontsevich of IHES and University of Miami as he unravels the mysteries surrounding the quantum spectrum and its implications for complex projective varieties.
