Return to Colloquia & Seminar listing

### Refined curve counting with tropical geometry

**Algebra & Discrete Mathematics**

Speaker: | Florian Block, UC Berkeley |

Location: | 1147 MSB |

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.