
Symplectic Geometry Seminar
- When
- Thursday, November 5, 20264:30 PM – 5:30 PM ESTAdd to calendarGoogle Calendar
- Where
- Building 2 449182 MEMORIAL DR, Cambridge, MA 02139Open in Maps
- Hosted by
- Department of Mathematics
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Academic & Study
About
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.