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Refined curve counting with tropical geometry
Algebra & Discrete MathematicsSpeaker: | 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.