Seminar in Real & Complex Geometry

Thursday, 22.01.2015, 16:00-17:30, Schreiber building, room 210

Yoav Len, Yale University

Tropical plane quartics


I will begin with a brief introduction to tropical geometry, and ex- plain how algebraic curves give rise to tropical curves. I will then show that every tropical plane quartic admits 7 families of bitangent lines. This is analo- gous to the remarkable fact in classical geometry that a smooth plane quartic has exactly 28 bitangent lines. While the proof is purely combinatorial, I will discuss recent developments which suggest that the classical and tropical results are closely related. This is joint work with Matt Baker, Ralph Morrison, Nathan Pueger, and Qingchun Ren.