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Explore advanced topics in algebraic geometry through this comprehensive workshop and school that bridges classical mathematical concepts with modern theoretical physics insights. Delve into the fascinating intersection of moduli spaces, mirror symmetry, and enumerative geometry, where surprising predictions from theoretical physics have revolutionized classical problems in algebraic geometry. Master powerful contemporary tools including moduli spaces of maps, Gromov-Witten invariants, Donaldson-Thomas and Pandharipande-Thomas invariants, and stability conditions on derived categories. Examine recent progress in understanding the geometry and topology of moduli spaces of curves through expert instruction from leading researchers at institutions including MIT, University of Edinburgh, University of Tokyo, and Imperial College London. Study six core lecture series covering stability conditions on derived categories and their geometric applications, stable pair invariants and derived categories, mirror symmetry for Fano orbifolds, cluster algebras and mirror symmetry, derived categories and moduli spaces, and tautological rings of moduli spaces of curves. Gain exposure to cutting-edge research developments through workshop presentations by prominent mathematicians from universities worldwide, providing insight into the most recent advances in these rapidly evolving fields that continue to reveal deep connections between pure mathematics and theoretical physics.
