Gunther Cornelissen
Published 2011-07-11Version 1
This is the text from a talk at the Arbeitstagung 2011, which can serve as an introduction to arxiv:1009.0736 and arXiv:1007.0907. I first discuss how a global field is determined by a certain dynamical system, and how this relates to abelian L-series determining those fields. I then discuss an analog in Riemannian geometry, and how it leads to a metric in the space of closed Riemannian manifolds.
Preperiodic points of polynomials over global fields
Fields of definition of dynamical systems on $\mathbb{P}^{1}$. Improvements on a result of Silverman
Brauer-Manin pairing, class field theory and motivic homology
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