|Princeton/IAS Symplectic Geometry Seminar|
|Topic:||Weinstein manifolds through skeletal topology|
|Date:||Monday, October 30|
|Time/Room:||4:00pm - 5:00pm/S-101|
We will discuss how to study the symplectic geometry of $2n$-dimensional Weinstein manifolds via the topology of a core $n$-dimensional complex called the skeleton. We show that the Weinstein structure can be homotoped to admit a skeleton with a unique symplectic neighborhood. Then we further work to reduce the remaining singularities to a simple combinatorial list coinciding with Nadler's arboreal singularities. We will discuss how arboreal singularities occur naturally in a Weinstein skeleton, and what information about the symplectic manifold one might hope to extract out of an arboreal complex.