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

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 expert...

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Veröffentlicht in:	Oberwolfach reports 2017-12, Vol.13 (4), p.3313-3372
Hauptverfasser:	Berarducci, Alessandro, Ehrlich, Philip, Kuhlmann, Salma
Format:	Artikel
Sprache:	eng
Schlagworte:	Commutative rings and algebras Field theory and polynomials Mathematical logic and foundations Order, lattices, ordered algebraic structures
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	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.
ISSN:	1660-8933 1660-8941
DOI:	10.4171/OWR/2016/60