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Tropical modifications against superabundant curves
Fri, October 2, 2009 1:00PM - 2:00PM
| Time: | 1:00PM - 2:00PM |
| Location: | Simons Auditorium |
| Speakers: | Erwan Brugalle, Mr. Erwan Brugalle |
| Abstract: | I guess (almost?) everybody agree that it is an important issue to determine which tropical varieties and sub-varieties are the
"tropicalisation" of classical varieties and sub-varieties. In the case of tropical curves in tropical varieties, Mikhalkin gave a
sufficient condition ensuring the approximation by classical varieties. However, many tropical curves, called superabundant curves, have a space of deformation of too big dimension, and are likely not approximable. In this talk, I will explain how to use tropical modifications to deal with superabundant tropical curves in tropical varieties. In particular, I will explain how to extend Speyer's criterion for curves of genus 1 to curves of any genus. If times permits, I will also link this work with tropical tangencies.
This is a joint work with Grigory Mikhalkin. |
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