Hannah Markwig
IMA

Title:
Introduction to tropical geometry
Abstract: The main idea of tropical geometry is to replace "usual"
algebraic varieties by certain limits which are piece-wise linear
objects. These  piece-wise linear objects are easier to deal with and
there are combinatorial approaches. But as we want results in algebraic
geometry, we have to make sure which properties of an algebraic variety
carry over to the limit. There is a lot of research in progress with
respect to this question.
In the talk, I will give basic definitions and explain some examples of
properties which carry over to the tropical world, and others which
don't seem to carry over.

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