A Sage/SciPy Developer Workshop: Special Functions and Computational Number Theory Meet Scientific Computing; Austin, TX
A Sage/SciPy Developer Workshop: Special Functions and Computational Number Theory Meet Scientific Computing; Austin, TX
批准号:
0838692
负责人:
Fernando Rodriguez-Villegas
金额:
$0.9万
依托单位国家:
美国
项目类别:
Standard Grant
财政年份:
2009
资助国家:
美国
项目状态:
已结题
起止时间:
2009-02-01 至 2010-01-31
中文摘要
这个研讨会是SAGE DAY(准确地说是第11天)的一个例子,是不定期的聚会,在这里,SAGE、AFRE和支持代数、几何、数论、密码学和相关领域的研究和教学的开放软件的开发人员聚集在一起,解决软件的当前问题,编程非常长的时间,要么改进现有代码,要么添加新代码,并计划下一步要采取的步骤。例如,该研讨会包括向SAGE添加使用模块化表单而不是功能域的功能。除了这种会议的上述标准特征,这个特别的研讨会还特别强调代数和数论(大部分SAGE开发人员和研究人员参加的领域)和计算机科学、超级计算(来自德克萨斯超级计算中心的TACC)和德克萨斯大学奥斯汀分校的应用数学(来自ICES,计算工程和科学研究所)以及学术之外的研究人员(来自Austin公司)之间的相互作用。这个研讨会的主要目标是:(I)通过召集一些开发人员和在他们自己的研究中使用它的研究人员来支持自由和开放源码软件SAGE的开发;(Ii)将主办单位得克萨斯大学奥斯汀分校的SAGE社区和各个研究小组聚集在一起,尽管他们的研究重点可能非常不同,但他们有许多共同的计算问题和需求。仅举一个例子,能够准确而快速地解决大型线性代数问题是任何可以想象到的科学计算的基本问题。如今,高级软件的可用性对数学研究至关重要,而且日益重要,无论是在应用数学还是在纯数学中。SAGE是一个非常强大的计算机包的例子,它处于数学及其应用研究的现有工具的前沿(就其功能的复杂性和速度而言);特别是在与代数、数论、几何和密码学相关的领域。研讨会的设计考虑到了SAGE的发展模式,强调开放、社区、合作和协作。
英文摘要
This workshop is an instance of SAGE Days (number 11 to be precise), aperiodic gathering where developers of the software package SAGE, afree and open software that supports research and teaching in algebra,geometry, number theory, cryptography, and related areas, addresscurrent issues of the software, program for very long hours, eitherimproving existing code or adding new code, and plan the next steps tobe taken. For example, this workshop includes working on adding toSAGE the capability to work with modular forms over functionfields. In addition to the above standard features of such a meeting,this particular workshop includes a strong emphasis in the interactionbetwen algebra and number theory (the area of the bulk of the SAGEdevelopers and researchers in attendance) and computer science,supercomputing (from TACC, the Texas supercomputing center) andapplied Mathematics (from ICES, the Institute for ComputationalEngineering and Sciences) at the University of Texas at Austin, aswell as researchers working outside academia (from Entought, an Austinbased company).The main goals of this workshop are: (i) to support the development ofthe free and open source software SAGE by gathering some of itsdevelopers as well as researchers that use it in their own research;(ii) to bring together the SAGE commnunity and various researchgroups at the host location, the University of Texas at Austin, thatwhile might have very different research focus share many commoncomputational problems and needs. To give just one example, beingable to solve large linear algebra problems accurately and fast is afundamental problem that underlies essentially any type of scientificcomputation imaginable. The availability of high level software isnowadays of crucial and increasing importance for research inMathematics, both in applied and pure Mathematics. SAGE is an exampleof a be very powerful computer package that is at the cutting edge(in terms of the sophistication of its capabilities as well as itsspeed) of existing tools for research in Mathematics and itsapplications; particularly, in those areas related to algebra, numbertheory, geometry and cryptography. The workshop is planned with theSAGE development model in mind, distinguished by an emphasis onopenness, community, cooperation, and collaboration.
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Character Varieties
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批准号:0800099
-
项目类别:Continuing Grant
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资助金额:$16.53万
-
财政年份:2008
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负责人:Fernando Rodriguez-Villegas
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依托单位:
Periods and Special Values of L-functions
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批准号:0200605
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项目类别:Continuing Grant
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资助金额:$21.06万
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财政年份:2002
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负责人:Fernando Rodriguez-Villegas
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依托单位:
Special Values of L-Functions
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批准号:9970109
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项目类别:Standard Grant
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资助金额:$8.0万
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财政年份:1999
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负责人:Fernando Rodriguez-Villegas
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依托单位:
Mathematical Sciences: Special Values of L-series Associated to Hecke Characters
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批准号:9500872
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项目类别:Standard Grant
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资助金额:$4.5万
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财政年份:1995
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负责人:Fernando Rodriguez-Villegas
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依托单位: