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Conference Paper: Local-global Principle in Circle Packings

TitleLocal-global Principle in Circle Packings
Other TitlesLocal to global principle in circle packings
Authors
Zhang, X
Issue Date2019
Citation
Number Theory Seminar, College of Mathematics, Sichuan University, Chengdu, China, 16 December 2019 How to Cite?
AbstractOne of the most spectacular results on arithmetic of Apollonian circle packings is the asymptotic local to global principle for curvatures in any given integral Apollonian packing as described by Bourgain-Kontorovich in 2014. The methods in their work, inspired originally by an observation of Sarnak's in his letter to Lagarias on Apollonian circle packings, apply to a much larger class of circle packings. In this talk, we clarify what asymptotic local to global means, and describe what the larger class is, as well as what aspects of the packings in this class seem necessary in order to conclude an asymptotic local to global result and how they enter the proof. This is joint work with Fuchs and Stange.
Persistent Identifierhttp://hdl.handle.net/10722/310684

 

DC FieldValueLanguage
dc.contributor.authorZhang, X-
dc.date.accessioned2022-02-08T10:53:32Z-
dc.date.available2022-02-08T10:53:32Z-
dc.date.issued2019-
dc.identifier.citationNumber Theory Seminar, College of Mathematics, Sichuan University, Chengdu, China, 16 December 2019-
dc.identifier.urihttp://hdl.handle.net/10722/310684-
dc.description.abstractOne of the most spectacular results on arithmetic of Apollonian circle packings is the asymptotic local to global principle for curvatures in any given integral Apollonian packing as described by Bourgain-Kontorovich in 2014. The methods in their work, inspired originally by an observation of Sarnak's in his letter to Lagarias on Apollonian circle packings, apply to a much larger class of circle packings. In this talk, we clarify what asymptotic local to global means, and describe what the larger class is, as well as what aspects of the packings in this class seem necessary in order to conclude an asymptotic local to global result and how they enter the proof. This is joint work with Fuchs and Stange.-
dc.languageeng-
dc.relation.ispartofNumber Theory Seminar, College of Mathematics, Sichuan University-
dc.titleLocal-global Principle in Circle Packings-
dc.title.alternativeLocal to global principle in circle packings-
dc.typeConference_Paper-
dc.identifier.emailZhang, X: xz27@hku.hk-
dc.identifier.authorityZhang, X=rp02608-
dc.identifier.hkuros317304-

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