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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 |
Description
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.