Seminar
| Parent Program: | |
|---|---|
| Location: | SLMath: Eisenbud Auditorium, Online/Virtual |
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification
No Primary AMS MSC
Secondary Mathematics Subject Classification
No Secondary AMS MSC
A combinatorial characterization of Sol 3-manifolds
Sol geometry is one of the eight Thurston geometries and provides a natural setting in which geometry, dynamics, and combinatorics interact. In this talk, I will describe a combinatorial approach to understanding Sol 3-manifolds via the notion of being “locally combinatorially defined” (LCD), developed in joint work with D. Cooper and L. Mavrakis. I will explain how symbolic methods—particularly regular languages—are used to construct a branched 3-manifold encoding the local structure of Sol geometry, and how this construction shows that Sol 3-manifolds are LCD. This perspective yields a characterization of Sol manifolds in terms of local combinatorial data and highlights a connection between 3-manifold geometry and formal language theory.
No Notes/Supplements Uploaded