Max B. Kutler
Thesis
Group Actions and Divisors on Tropical Curves
- Advisor
- Dagan Karp
- Second Reader(s)
- Eric Katz (UT-Austin)
Abstract
Tropical geometry is algebraic geometry over the tropical semiring, or min-plus algebra. In this thesis, I discuss the basic geometry of plane tropical curves. By introducing the notion of abstract tropical curves, I am able to pass to a more abstract metric-topological setting. In this setting, I discuss divisors on tropical curves. I begin a study of $G$-invariant divisors and divisor classes.
Proposal
Studying Group Actions on Graphs via Tropical Geometry and Chip-Firing
