Mathematical Sciences: Connections Between Topology and Representation Theory - Emphasis Year Proposal
Mathematical Sciences: Connections Between Topology and Representation Theory - Emphasis Year Proposal
批准号:
9104031
负责人:
Mark Mahowald
金额:
$2.4万
依托单位:
依托单位国家:
美国
项目类别:
Standard Grant
财政年份:
1991
资助国家:
美国
项目状态:
已结题
起止时间:
1991-09-15 至 1992-08-31
中文摘要
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英文摘要
The subject of the special year funded by this award will be interdisciplinary in nature, emphasizing developing connections between topology and modular representation theory with applications to algebraic K-theory, algebraic geometry, algebraic number theory, and the cohomology of groups. Algebraic topology has freely employed numerous techniques from algebra and algebraic geometry. Analysis of splittings in the stable homotopy category now employs modular representation of finite groups and global studies of the stable homotopy category have introduced familiar concepts from algebraic number theory. On the other hand, the application of topological techniques to study algebraic cycles and the topological analysis of rings of integers in number theory provide two very recent examples that the interaction goes both ways. The solutions of the Sullivan and Segal Conjectures have lead to numerous connections with the representation theory of compact Lie groups and these connections have provided powerful new techniques in homotopy theory. This grant will fund an Emphasis Year on the above subject at Northwestern University during 1991-92. An integral part of this special year is an international conference to be held in March, 1992. This special year and conference are timely and will provide a needed forum for new developments and a foundation for further results.
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Mathematical Sciences: Localization and periodicity in unstable homotopy theory
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批准号:9396196
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项目类别:Continuing Grant
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资助金额:$1.0万
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财政年份:1993
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负责人:Mark Mahowald
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依托单位:
Mathematical Sciences: Localization and periodicity in unstable homotopy theory
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批准号:9206376
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项目类别:Continuing Grant
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资助金额:$1.0万
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财政年份:1992
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负责人:Mark Mahowald
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依托单位:
Mathematical Sciences: Topology and Its Connections to Geometry and Modular Representation Theory
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批准号:9101415
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项目类别:Continuing Grant
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资助金额:$42.55万
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财政年份:1991
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负责人:Mark Mahowald
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依托单位:
Mathematical Sciences: Connections Between Geometry, Topology, and K-Theory
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批准号:8800657
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项目类别:Continuing Grant
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资助金额:$38.21万
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财政年份:1988
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负责人:Mark Mahowald
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依托单位:
Mathematical Sciences Research Equipment
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批准号:8805486
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项目类别:Standard Grant
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资助金额:$5.5万
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财政年份:1988
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负责人:Mark Mahowald
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依托单位:
Mathematical Sciences: Homotopy Theory Emphasis Year Proposal
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批准号:8617086
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项目类别:Standard Grant
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资助金额:$3.61万
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财政年份:1987
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负责人:Mark Mahowald
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依托单位:
Mathematical Sciences: Conference in Homotopy Theory
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批准号:8709491
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项目类别:Standard Grant
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资助金额:$1.0万
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财政年份:1987
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负责人:Mark Mahowald
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依托单位:
Mathematical Sciences: Connections Between Geometry, Topology, and K-Theory
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批准号:8420857
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项目类别:Continuing Grant
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资助金额:$31.4万
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财政年份:1985
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负责人:Mark Mahowald
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依托单位:
Acquisition of Mathematical Sciences Research Equipment
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批准号:8404958
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项目类别:Standard Grant
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资助金额:$2.7万
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财政年份:1984
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负责人:Mark Mahowald
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依托单位:
Conference on Algebraic Topology; Evanston, Illinois; March 22-26, 1982
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批准号:8117565
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项目类别:Standard Grant
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资助金额:$0.93万
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财政年份:1982
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负责人:Mark Mahowald
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依托单位:
Algebraic Topology: Homotopy Theory and Algebraic K-Theory (Mathematics)
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批准号:8200455
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项目类别:Continuing Grant
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资助金额:$32.34万
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财政年份:1982
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负责人:Mark Mahowald
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依托单位:
Algebraic Topology
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批准号:7827592
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项目类别:Continuing Grant
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资助金额:$29.08万
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财政年份:1979
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负责人:Mark Mahowald
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依托单位:
Research Conference on Homotopy Theory and Applications, Evanston, Illinois, During March 1977
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批准号:7610816
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项目类别:Standard Grant
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资助金额:$0.85万
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财政年份:1977
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负责人:Mark Mahowald
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依托单位:
Algebraic Topology
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批准号:7002065
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项目类别:Standard Grant
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资助金额:$0.0万
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财政年份:1970
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负责人:Mark Mahowald
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依托单位:
国内基金
海外基金
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