תאריך:
ג', 13/12/202218:00-19:00
מיקום:
Zoom
Gopakumar and Vafa, motivated by string theory, predicted that certain invariants of symplectic six-manifolds are integers and all but finitely many of them vanish (in every homology class). This is rather surprising, as these invariants can be defined in terms of the Gromov-Witten invariants which do not have either of these properties, so this conjecture is really a statement about some deeper geometric structures underlying the combinatorics of the Gromov-Witten invariants. The integrality part of the Gopakumar-Vafa conjecture was proved by Ionel and Parker in 2018. In this talk, based on joint work with Ionel and Walpuski, I discuss a proof of the finiteness part of the conjecture, which relies on combining the analysis of pseudoholomorphic curves with ideas from geometric measure theory.