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[TMS] An Introduction to Tropical Geometry

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If you have a question about this talk, please contact Jason Kwong.

Algebraic geometry is the study of solution sets to polynomial equations. Usually, one is interested in solving equations over algebraically closed fields such as the complex numbers, but these solutions sets can be quite hard to visualize. However, a recently discovered type of geometry, which is called “tropical geometry” for rather silly reasons, helps us visualize these solution sets and at the same time solve rather difficult problems in algebraic geometry via purely combinatorial arguments. I will give an introduction to some of the basic ideas of the subject.

This talk is part of the Trinity Mathematical Society series.

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