Refined curve counting with tropical geometryAlgebra & Discrete Mathematics
|Speaker:||Florian Block, UC Berkeley|
|Start time:||Mon, Nov 19 2012, 4:10PM|
I will review how to count plane curves, both complex and real, by tropical geometry following Mikhalkin. Then I will discuss a new q-analog version of tropical curve counting, that recovers the complex and real version as special cases. The tropical q-counts conjecturally agree with a recent algebra-geometric invariant of Goettsche and Shende.
This is joint work with Lothar Goettsche.