Master´s degree project: Computation of superpotentials of monotone Lagrangian submanifolds in Kähler manifolds
- Date
- 13 June 2023, 13:15–14:15
- Location
- Ångström Laboratory, Å64119
- Type
- Course
- Lecturer
- Yacoub Hendi
- Organiser
- Matematiska institutionen
- Contact person
- Luis Diogo
Welcome to Yacoub Hendi´s presentation of his master´s degree project with the title "Computation of superpotentials of monotone Lagrangian submanifolds in Kähler manifolds".
Abstract: We compute the superpotentials of the monotone twist Lagrangian tori in products of complex projective lines, as defined by Chekanov and Schlenk. The superpotential of a monotone Lagrangian submanifold is a generating function whose coefficients encode counts of pseudo-holomorphic discs with boundary on the Lagrangian, and with Maslov index equal to 2. The calculation uses several tools from complex analysis.