DT Invariants and Holomorphic Curves in Complex Integrable Systems

Explore the intriguing correspondence between Donaldson-Thomas invariants and holomorphic curves in this advanced mathematics lecture. Delve into Kontsevich and Soibelman's proposed connection between non-compact Calabi-Yau 3-folds and complex integrable systems. Examine a concrete example related to mirror symmetry for the local projective plane, with applications in enumerative geometry. Gain insights into the general correspondence through the lens of N=2 4d quantum field theories and holomorphic Floer theory. Join Pierrick Bousseau from the University of Georgia as he presents his research, including collaborative work with Descombes, Le Floch, Pioline, Fan, Guo, and Wu, in this 69-minute talk hosted by the Institut des Hautes Etudes Scientifiques (IHES).