Title: Tropical geometry from a toric perspective
Speaker: Sae Koyama (Cambridge)
Abstract: Tropical geometry can be regarded as a combinatorial shadow of algebraic geometry, which captures enough information from algebraic objects to derive useful properties, while being simpler to work with. Tropical tools have been extremely powerful in a variety of applications. In this talk we introduce the main idea of tropical geometry via toric geometry. We define toric varieties, then give the correspondence between toric varieties and fans. We discuss how this construction generalizes, and finish with a sketch of a simple case of tropical correspondence.
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Some snacks will be provided before and after the talk.