### Symplectic trisections and connected sum decompositions

- Series
- Geometry Topology Seminar
- Time
- Monday, April 17, 2023 - 16:30 for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Peter Lambert-Cole – University of Georgia

This talk will have two parts. The first half will describe how to construct symplectic structures on trisected 4-manifolds. This construction is inspired by projective complex geometry and completely characterizes symplectic 4-manifolds among all smooth 4-manifolds. The second half will address a curious phenomenon: symplectic 4-manifolds appear to not admit any interesting connected sum decompositions. One potential explanation is that every embedded 3-sphere can be made contact-type. I will outline some strategies to prove this from a trisections perspective, describe some of the obstructions, and give evidence that these obstructions may be overcome.