Relative unitary RZ-spaces and the Arithmetic Fundamental Lemma
Relative unitary RZ-spaces and the Arithmetic Fundamental Lemma
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DissertationPrüfungsdatum
16.12.2016Datum der Veröffentlichung
29.03.2017Erstgutachter
Rapoport, MichaelZweitgutachter
Faltings, GerdMetadaten
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Inhalt
We verify new cases of the Arithmetic Fundamental Lemma (AFL) of Wei Zhang. This relies on a recursive algorithm which allows, under certain conditions, to reduce the AFL identity in question to an AFL identity in lower dimension. The main ingredient for this reduction is a comparison isomorphism between different moduli problems of PEL-type for p-divisible groups. The construction of this comparison isomorphism is based on the theory of relative displays and frames, as developed by Tobias Ahsendorf, Eike Lau and Thomas Zink.
Schlagwörter
Arithmetic Fundamental Lemma, Rapoport-Zink space, p-divisible group, display, frame, orbital integral
Klassifikation (DDC)
510 MathematikMihatsch, Andreas Johannes: Relative unitary RZ-spaces and the Arithmetic Fundamental Lemma. - Bonn, 2017. - Dissertation, Rheinische Friedrich-Wilhelms-Universität Bonn.
Online-Ausgabe in bonndoc: https://nbn-resolving.org/urn:nbn:de:hbz:5n-46629
Online-Ausgabe in bonndoc: https://nbn-resolving.org/urn:nbn:de:hbz:5n-46629
@phdthesis{handle:20.500.11811/7144,
urn: https://nbn-resolving.org/urn:nbn:de:hbz:5n-46629,
author = {{Andreas Johannes Mihatsch}},
title = {Relative unitary RZ-spaces and the Arithmetic Fundamental Lemma},
school = {Rheinische Friedrich-Wilhelms-Universität Bonn},
year = 2017,
month = mar,
note = {We verify new cases of the Arithmetic Fundamental Lemma (AFL) of Wei Zhang. This relies on a recursive algorithm which allows, under certain conditions, to reduce the AFL identity in question to an AFL identity in lower dimension. The main ingredient for this reduction is a comparison isomorphism between different moduli problems of PEL-type for p-divisible groups. The construction of this comparison isomorphism is based on the theory of relative displays and frames, as developed by Tobias Ahsendorf, Eike Lau and Thomas Zink.},
url = {https://hdl.handle.net/20.500.11811/7144}
}
urn: https://nbn-resolving.org/urn:nbn:de:hbz:5n-46629,
author = {{Andreas Johannes Mihatsch}},
title = {Relative unitary RZ-spaces and the Arithmetic Fundamental Lemma},
school = {Rheinische Friedrich-Wilhelms-Universität Bonn},
year = 2017,
month = mar,
note = {We verify new cases of the Arithmetic Fundamental Lemma (AFL) of Wei Zhang. This relies on a recursive algorithm which allows, under certain conditions, to reduce the AFL identity in question to an AFL identity in lower dimension. The main ingredient for this reduction is a comparison isomorphism between different moduli problems of PEL-type for p-divisible groups. The construction of this comparison isomorphism is based on the theory of relative displays and frames, as developed by Tobias Ahsendorf, Eike Lau and Thomas Zink.},
url = {https://hdl.handle.net/20.500.11811/7144}
}
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