Connected components of moduli spaces of p-divisible groups
【2013.2.27 4:00pm,C610】 |
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2013-2-25
Colloquia & Seminars
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Speaker |
Dr.Miaofen Chen, East China Normal University |
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Title |
Connected components of moduli spaces of p-divisible groups |
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Time |
2013.2.27 4:00pm |
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Venue |
C610 |
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Abstract |
The moduli spaces of p-divisible groups are introduced by Rapoport and Zink which are formal schemes over the ring of integers of some non-archimedean field. They are local analogue of Shimura varieties. We will determine the set of connected components of unramified Rapoport-Zink spaces by using affine Deligne-Lusztig varieties. And as an application, in the HN-irreducible case, we will also determine the set of geometrically connected components of the generic fiber of Rapoport-Zink spaces with level structures as rigid analytic spaces. This talk is base on a joint work with Mark Kisin and Eva Viehmann. |
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Affiliation |
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