Derived Deformations of Crepant Curves

Explore the intricate world of derived deformations in crepant curves through this 56-minute lecture by Micheal Wemyss at the Hausdorff Center for Mathematics. Delve into the full A∞ structure associated with a general (-3,1)-curve C inside a smooth CY 3-fold, motivated by various contraction conjectures. Discover how the noncommutative deformation theory of C can be described as a superpotential algebra derived from free necklace polynomials, validating a string theory prediction by Ferrari, Aspinwall-Katz, and Curto-Morrison. Gain insights into this collaborative research with Gavin Brown, bridging complex mathematical concepts with theoretical physics applications.