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  1. (, Advances in Mathematics)
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  2. ; (, Journal of the Institute of Mathematics of Jussieu)
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    Let $$(G,\unicode[STIX]{x1D707})$$ be a pair of a reductive group $$G$$ over the $$p$$ -adic integers and a minuscule cocharacter $$\unicode[STIX]{x1D707}$$ of $$G$$ defined over an unramified extension. We introduce and study ‘ $$(G,\unicode[STIX]{x1D707})$$ -displays’ which generalize Zink’s Witt vector displays. We use these to define certain Rapoport–Zink formal schemes purely group theoretically, i.e. without $$p$$ -divisible groups. 
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  3. ; ; (, Journal de l’École polytechnique — Mathématiques)
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  4. ; ; ; ; ; ; (, American Journal of Mathematics)
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  5. (, Proceedings of the International Congress of Mathematicians, Rio de Janeiro)
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  6. ; (, Publications mathématiques de l'IHES)
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  7. ; ; ; ; (, New York journal of mathematics)
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    Accepted Manuscript Full Text Available
  8. ; ; ; ; ; (, International Mathematics Research Notices)
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    Abstract Following the method of Seifert surfaces in knot theory, we define arithmetic linking numbers and height pairings of ideals using arithmetic duality theorems, and compute them in terms of $$n$$-th power residue symbols. This formalism leads to a precise arithmetic analogue of a “path-integral formula” for linking numbers. 
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