Superabundance and Unobstructedness in Lagrangian Torus Fibrations - Lecture

Explore the concept of Lagrangian realization in tropical geometry through this M-Seminar talk by Jeff Hicks from the University of Edinburgh. Delve into the relationship between tropical curves in the base of a Lagrangian torus fibration and their corresponding Lagrangian submanifolds in the total space. Discover how Hamiltonian isotopy can be used to bring the projection of these submanifolds arbitrarily close to the original tropical curves. Focus on the three-dimensional setting and learn about a combinatorial criterion called non-superabundance, which determines the unobstructedness of the Lagrangian lift. Gain insights into this advanced topic in mathematical physics and geometry during this 1-hour and 14-minute lecture presented at Kansas State University on October 3, 2024.