Mattias Jonsson: Complex, tropical and non-Archimedean geometry

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.

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Mattias Jonsson: Complex, tropical and non-Archimedean geometry (audio only, mp3)

Mattias Jonsson: Complex, tropical and non-Archimedean geometry (audio and video, mp4)

Kollokvier 2016

Titel Datum
Karen Smith 2016‑12‑07
Jeff Steif: Noise Sensitivity of Boolean Functions and Critical Percolation 2016‑10‑28
Martin Hairer: Taming infinities. 2016‑09‑29
Mattias Jonsson: Complex, tropical and non-Archimedean geometry 2016‑06‑01
Yulij Ilyashenko: Towards the global bifurcation theory on the plane 2016‑04‑27
Volodymyr Mazorchuk: (Higher) representation theory 2016‑03‑09
Tobias Ekholm: Knot contact homology, Chern-Simons, and topological strings 2016‑02‑10