Mattias Jonsson: Complex, tropical and non-Archimedean geometry.

Schedule

14.00-15.00 Pre-colloquium by Ralph Morrison (Room FB54, AlbaNova)
15:15-16:15 Colloquium lecture by Mattias Jonsson (Room Oskar Klein, AlbaNova)
16:15-17:00 SMC social get together with refreshments

Abstract

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.