Oliver Club

Ralph MorrisonWilliams College
Tropical curves and bitangents

Thursday, April 19, 2018 - 4:00pm
Malott 532

A smooth plane quartic curve over an algebraically closed field has 28 bitangent lines. In this talk, I will prove the corresponding result for the tropical world: a tropical smooth place quartic curve has 7 tropical bitangent lines, up to a natural equivalence. The proof of this result will consider plane tropical curves both as embedded piecewise linear subsets of the Euclidean plane, and as abstract graphs with lengths on the edges. This is joint work with Matt Baker, Yoav Len, Nathan Pflueger, and Qingchun Ren.

Refreshments will be served at 3:30 PM.