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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
Sage/SciPy 开发者研讨会:特殊函数和计算数论与科学计算的结合;
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

项目摘要

项目成果

Fernando Rodriguez-Villegas的其他基金

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中文摘要
翻译
这个研讨会是SAGE日的一个实例(准确地说是第11个),不定期的聚会,软件包SAGE的开发人员,支持代数,几何,数论,密码学和相关领域的研究和教学的免费和开放的软件,解决软件的当前问题,长时间的程序,无论是改进现有的代码还是添加新的代码,并计划下一步要采取的措施。例如,这个研讨会包括为SAGE增加在功能字段上使用模块化表单的能力。除了上述标准的特点,这样一个会议,这个特别的研讨会包括在代数和数论之间的相互作用的强烈强调(SAGE开发人员和研究人员的大部分领域出席)和计算机科学,超级计算(来自德克萨斯州超级计算中心)和应用数学(来自ICES,计算工程与科学研究所),以及学术界以外的研究人员(来自Entought,一家总部位于奥斯汀的公司)。该研讨会的主要目标是:(i)通过聚集一些自由开源软件SAGE的开发人员以及在自己的研究中使用该软件的研究人员来支持该软件的开发;(ii)将SAGE社区和位于奥斯汀的德克萨斯大学的各种研究小组聚集在一起,这些研究小组可能有非常不同的研究重点,但有许多共同的计算问题和需求。仅举一个例子,能够准确快速地解决大型线性代数问题是一个基本问题,它是任何可以想象的科学计算的基础。高层次软件的可用性是当今数学研究的关键和日益重要的,无论是在应用数学和纯数学。SAGE是一个非常强大的计算机软件包的一个例子,它在数学及其应用研究的现有工具中处于最前沿(就其功能的复杂性和速度而言);特别是在与代数、数论、几何和密码学有关的领域。该研讨会计划与SAGE发展模式铭记,突出强调开放,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
  • 批准号:
    0800099
  • 项目类别:
    Continuing Grant
  • 资助金额:
    $16.53万
  • 财政年份:
    2008
  • 负责人:
    Fernando Rodriguez-Villegas
  • 依托单位:
Periods and Special Values of L-functions
  • 批准号:
    0200605
  • 项目类别:
    Continuing Grant
  • 资助金额:
    $21.06万
  • 财政年份:
    2002
  • 负责人:
    Fernando Rodriguez-Villegas
  • 依托单位:
Special Values of L-Functions
  • 批准号:
    9970109
  • 项目类别:
    Standard Grant
  • 资助金额:
    $8.0万
  • 财政年份:
    1999
  • 负责人:
    Fernando Rodriguez-Villegas
  • 依托单位:
Mathematical Sciences: Special Values of L-series Associated to Hecke Characters
  • 批准号:
    9500872
  • 项目类别:
    Standard Grant
  • 资助金额:
    $4.5万
  • 财政年份:
    1995
  • 负责人:
    Fernando Rodriguez-Villegas
  • 依托单位: