Topology of Lagrangians Via Open-Closed String Topology - Shuhao Li

IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar Three 20 Minute Research Talks 9:15am|Remote Access Topic: Topology of Lagrangians Via Open-Closed String Topology Speaker: Shuhao Li Affiliation: Stony Brook Date: November 13, 2026 The topology of Lagrangian submanifolds in the standard symplectic vector space 𝐶𝑛 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 𝐶𝑛. 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