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Chapitre D'ouvrage Année : 2017

Constructing Buildings and Harmonic Maps

Résumé

In a continuation of our previous work, we outline a theory which should lead to the construction of a universal pre-building and versal building with a $\phi$-harmonic map from a Riemann surface, in the case of two-dimensional buildings for the group $SL(3)$. This will provide a generalization of the space of leaves of the foliation defined by a quadratic differential in the classical theory for $SL(2)$. Our conjectural construction would determine the exponents for $SL(3)$ WKB problems, and it can be put into practice on examples.

Dates et versions

hal-01335377 , version 1 (21-06-2016)

Identifiants

Citer

Ludmil Katzarkov, Alexander Noll, Pandit Pranav, Carlos Simpson. Constructing Buildings and Harmonic Maps. Denis Auroux; Ludmil Katzarkov; Tony Pantev; Yan Soibelman; Yuri Tschinkel. Algebra, Geometry, and Physics in the 21st Century (Kontsevich Festschrift), 324, Birkhäuser, pp.203-260, 2017, Progress in Mathematics, 978-3-319-59939-7. ⟨10.1007/978-3-319-59939-7⟩. ⟨hal-01335377⟩
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