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Award ID contains: 1701619

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  1. (, Advances in Mathematics)
    null (Ed.)
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  2. ; (, Journal of the Institute of Mathematics of Jussieu)
    null (Ed.)
    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. ; (, Publications mathématiques de l'IHES)
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  6. ; ; ; ; (, New York journal of mathematics)
    null (Ed.)
    Accepted Manuscript Full Text Available
  7. (, Proceedings of the International Congress of Mathematicians, Rio de Janeiro)
    null (Ed.)
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  8. ; ; ; ; ; (, International Mathematics Research Notices)
    null (Ed.)
    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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