Oberwolfach Reports


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Volume 13, Issue 4, 2016, pp. 3313–3372
DOI: 10.4171/OWR/2016/60

Published online: 2017-12-20

Mini-Workshop: Surreal Numbers, Surreal Analysis, Hahn Fields and Derivations

Alessandro Berarducci[1], Philip Ehrlich[2] and Salma Kuhlmann[3]

(1) Università di Pisa, Italy
(2) Ohio University, Athens, USA
(3) Universität Konstanz, Germany

New striking analogies between H. Hahn’s fields of generalised series with real coefficients, G. H. Hardy’s field of germs of real valued functions, and J. H. Conway’s field No of surreal numbers, have been lately discovered and exploited. The aim of the workshop was to bring quickly together experts and young researchers, to articulate and investigate current key questions and conjectures regarding these fields, and to explore emerging applications of this recent discovery.

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Berarducci Alessandro, Ehrlich Philip, Kuhlmann Salma: Mini-Workshop: Surreal Numbers, Surreal Analysis, Hahn Fields and Derivations. Oberwolfach Rep. 13 (2016), 3313-3372. doi: 10.4171/OWR/2016/60