# Mathematics Colloquia and Seminars

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### An Introduction to Tropical Geometry with Applications

**Student-Run Applied & Math Seminar**

Speaker: | Mohamed Omar, UC Davis |

Location: | 2112 MSB |

Start time: | Wed, Nov 26 2008, 12:10PM |

Tropical Geometry is geometry over the min-plus semiring. Its objects are polyhedral cell complexes which behave like complex algebraic varieties. Tropical Geometry is a relatively new area with exciting and surprising connections to various areas of mathematics. Many authors are currently exploring a wide range of applications in both pure and applied mathematics, including computational biology. In this talk we introduce the subject from its roots, describe how to draw certain tropical curves, and briefly describe an application to computational biology: how tropical Grassmanians of lines coincide with the space of phylogenetic trees.

Pizza and soda.