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Explore advanced mathematical concepts through this comprehensive conference series featuring leading experts in homological mirror symmetry and Hodge theory. Delve into cutting-edge research topics including Knorrer periodicity in curve counting, anti-symplectic involutions and twisted sectors in Lagrangian Floer theory, and the gluing of localized mirror functors. Examine framing duality, Calabi-Yau geometry, and Kodaira-Spencer gravity alongside integrable hierarchies. Investigate quantum master equations on cyclic cochains and categorical higher genus Gromov-Witten invariants, while studying higher Hasse-Witt matrices and period integrals. Learn about mirror symmetry applications to flag varieties through the Langlands program and explore moduli of K3 surfaces as moduli of A-infinity structures. Discover homological mirror symmetry and mirror maps for del Pezzo surfaces, singular SYZ fibres, and immersed Lagrangians. Benefit from focused lectures by renowned mathematicians including Colin Diemer, Hansol Hong, Dmytro Shklyrov, Adam Jacob, Andrew Harder, and Charles Doran, covering specialized topics in symplectic geometry and mirror symmetry theory.
