Workshop on Graphs and Arithmetic
Workshop on Graphs and Arithmetic
批准号:
1007973
负责人:
Wen-Ching Li
金额:
$2.5万
依托单位国家:
美国
项目类别:
Standard Grant
财政年份:
2010
资助国家:
美国
项目状态:
已结题
起止时间:
2010-03-01 至 2012-02-29
中文摘要
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英文摘要
There is a long history of interaction between number theory and combinatorics. In the past two decades, deep results in automorphic forms and number theory were used to construct (optimal) expanders, which are known to have wide applications in computer science and communication networks. These techniques were generalized to construct higher dimensional analogues. Very recently, zeta functions for graphs have been extended to complexes. They contain topological and spectral information of the combinatorial objects so that the Riemann hypothesis is satisfied if and only if the object is spectrally extremal. Furthermore, exciting developments in arithmetic combinatorics in recent years provide new tools to construct families of good expanders, which in turn are used to obtain deep number theoretic results. At the same time, the concept of expansion is extended in group theory and computer science to a different new context.A workshop on graphs and arithmetic will take place March 8-12, 2010, at CRM,Montreal, Canada, to review recent exciting developments in expanders and number theory. The focus will be on the interconnections between combinatorics, group theory and number theory. Both theories and applications will be emphasized. Seventeen invited speakers are from the US. To cover the expenses of the invited speakers and partially support graduate students and recent doctorates, support from the NSF is sought to supplement the fundscommitted by the CRM.
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Impact of Computation on Number Theory, July 30 - August 3, 2014
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批准号:1414219
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项目类别:Standard Grant
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资助金额:$3.54万
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财政年份:2014
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负责人:Wen-Ching Li
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依托单位:
International Conference on Galois Representations, Automorphic Forms and Shimura Varieties
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批准号:1134046
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项目类别:Standard Grant
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资助金额:$1.41万
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财政年份:2011
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负责人:Wen-Ching Li
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依托单位:
Combinatorics and Number Theory V
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批准号:1101368
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项目类别:Standard Grant
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资助金额:$12.0万
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财政年份:2011
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负责人:Wen-Ching Li
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依托单位:
Combinatorics and Number Theory IV
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批准号:0801096
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项目类别:Standard Grant
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资助金额:$15.0万
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财政年份:2008
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负责人:Wen-Ching Li
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依托单位:
Combinatorics and Number Theory III
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批准号:0457574
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项目类别:Standard Grant
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资助金额:$10.5万
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财政年份:2005
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负责人:Wen-Ching Li
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依托单位:
Combinatorics and Number Theory II
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批准号:9970651
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项目类别:Standard Grant
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资助金额:$6.0万
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财政年份:1999
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负责人:Wen-Ching Li
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依托单位:
Combinatorics and Number Theory
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批准号:9622938
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项目类别:Standard Grant
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资助金额:$6.5万
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财政年份:1996
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负责人:Wen-Ching Li
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依托单位:
Number Theory, Combinatorics and Representation Theory (Mathematics)
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批准号:9003126
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项目类别:Continuing grant
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资助金额:$0.0万
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财政年份:1991
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负责人:Wen-Ching Li
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依托单位:
Mathematical Sciences: Number Theory, Combinatorics, and Representation Theory
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批准号:8404083
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项目类别:Continuing Grant
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资助金额:$11.3万
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财政年份:1984
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负责人:Wen-Ching Li
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依托单位:
Analytic, Algebraic and Combinatorial Number Theory
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批准号:8101943
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项目类别:Continuing Grant
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资助金额:$7.84万
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财政年份:1981
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负责人:Wen-Ching Li
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依托单位:
海外基金