Travaux de Zink

William Messing

Séminaire Bourbaki (2005-2006)

  • Volume: 48, page 341-364
  • ISSN: 0303-1179

Abstract

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The diverse Dieudonné theories have as their common goal the classification of formal groups and p -divisible groups. The most recent theory is Zink’s theory of displays. A display over a ring R is a finitely generated projective module over the ring of Witt vectors, W ( R ) , equipped with additional structures. Zink has shown that using this notion, more concrete than those previously defined, one can obtain a good theory and prove an equivalence theorem in great generality. I will give an overview of his theory as well as sketch several proofs.

How to cite

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Messing, William. "Travaux de Zink." Séminaire Bourbaki 48 (2005-2006): 341-364. <http://eudml.org/doc/252168>.

@article{Messing2005-2006,
abstract = {The diverse Dieudonné theories have as their common goal the classification of formal groups and $p$-divisible groups. The most recent theory is Zink’s theory of displays. A display over a ring R is a finitely generated projective module over the ring of Witt vectors, $W(R)$, equipped with additional structures. Zink has shown that using this notion, more concrete than those previously defined, one can obtain a good theory and prove an equivalence theorem in great generality. I will give an overview of his theory as well as sketch several proofs.},
author = {Messing, William},
journal = {Séminaire Bourbaki},
keywords = {cristaux de Dieudonné; étalages; groupes formels; groupes $p$-divisibles},
language = {eng},
pages = {341-364},
publisher = {Association des amis de Nicolas Bourbaki, Société mathématique de France},
title = {Travaux de Zink},
url = {http://eudml.org/doc/252168},
volume = {48},
year = {2005-2006},
}

TY - JOUR
AU - Messing, William
TI - Travaux de Zink
JO - Séminaire Bourbaki
PY - 2005-2006
PB - Association des amis de Nicolas Bourbaki, Société mathématique de France
VL - 48
SP - 341
EP - 364
AB - The diverse Dieudonné theories have as their common goal the classification of formal groups and $p$-divisible groups. The most recent theory is Zink’s theory of displays. A display over a ring R is a finitely generated projective module over the ring of Witt vectors, $W(R)$, equipped with additional structures. Zink has shown that using this notion, more concrete than those previously defined, one can obtain a good theory and prove an equivalence theorem in great generality. I will give an overview of his theory as well as sketch several proofs.
LA - eng
KW - cristaux de Dieudonné; étalages; groupes formels; groupes $p$-divisibles
UR - http://eudml.org/doc/252168
ER -

References

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