Since tropical geometry, the main topics of this talk belong to, is an
algebraic geometry over a semifield called tropical semifield, we first
explain classical algebraic geometry, in particular, the duality of
geometry and algebra. Next, we give a brief introduction to tropical
geometry. This includes its history, sources, easy examples and important
theorems. Then focusing on the tropical version of duality of geometry
and algebra, we explain how tropical rational function semifields are
well-behaved, i.e., my results on them.

(16:15 より 105 談話室で tea)