Symplectic Geometry Seminar

About this event

Speaker: Shuhao Li (Stony Brook University) Title: Topology of Lagrangians via open-closed string topology Abstract: The topology of Lagrangian submanifolds in the standard symplectic vector space C^n is a fundamental, yet poorly understood, problem in symplectic topology. A related question, known as Maslov class rigidity, concerns constraints on the Maslov classes of Lagrangian embeddings in C^n. I will describe a new approach to these problems based on ideas from open-closed string topology. As applications, I will present new results on these questions, extending classical theorems of Viterbo, Cieliebak–Mohnke, Fukaya, and Irie.