Mattias Jonsson: Complex, tropical and non-Archimedean geometry
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An important theme in mathematics consists of relating equations to geometric objects. For example, an equation such as x+y=1 can describe a line in the real plane. However, it can also describe other geometric objects, such as a complex "line" or a "tropical line", where the latter looks like three rays in the plane emanating from the origin. I will describe how such geometric objects are related. Time permitting, I will also describe how tropical and even non-Archimedean geometry can arise as a limit of classical geometry.