Time: Monday, 14:30-15:30, July 21, 2025,
Location: S408, IMS
Speaker: Aleksander Doan, University College London
Abstract: It is a long-standing open problem to generalize sheaf-counting invariants of complex projective three-folds to symplectic manifolds of real dimension six. One approach to this problem involves counting J-holomorphic curves C, for a generic almost complex structure J, with weights depending on J. Various existing symplectic invariants can be expressed as such weighted counts. In this talk, based on joint work with Thomas Walpuski, I will discuss a new construction of weights associated with curves and a closely related problem about the structure of the space of Cauchy-Riemann operators on C.