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Timeline for Learning Tropical geometry

Current License: CC BY-SA 3.0

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Dec 31, 2011 at 18:20 answer added Michael Joyce timeline score: 13
Dec 31, 2011 at 16:37 answer added Leandro Vendramin timeline score: 11
Dec 31, 2011 at 15:29 comment added Robert Kucharczyk You can learn already a great deal of tropical geometry with the knowledge you have. It is a very "visual" and "constructive" area of mathematics, and mainly works with hands-on definitions. Of course, there are some applications of tropical geometry to Grothendieck-style algebraic geometry, but if you do not know schemes and sheaves, you very probably will not be interested in these applications in the first place. So my suggestion is just: start reading some introductory paper right now, e.g. arxiv.org/abs/math/0601322
Dec 31, 2011 at 7:57 comment added J W Well, according to Maclagan & Sturmfels in their draft of Introduction to Tropical Geometry, you need about the level of Ideals, Varieties, and Algorithms by Cox, Little, and O’Shea as background for the first five chapters (out of nine) of their book. (I've made this a comment since I do not address the research literature in tropical geometry, and in any case, I am paraphrasing Maclagan & Sturmfels rather than providing my own answer.)
Dec 31, 2011 at 7:01 history asked john CC BY-SA 3.0