Summer School on Applicable Algebraic Geometry: Additional Funding

在2007年7月22日至2007年8月10日的三周时间里，马图塞维奇和索蒂尔将与法兰克福大学的Theobald一起组织2007年数学及其应用研究所(IMA)参与机构暑期研究生计划，主题为‘应用代数几何’。IMA将从37所IMA参与机构各派出两名学生参加这个暑期研究生计划。这项提议旨在允许更多的学生参与这个暑期研究生计划，这将使更多的学生能够利用这个机会。这项提议将支持大约13名额外的研究生，主要来自与IMA无关的机构，该课程将围绕一门应用代数几何的课程进行组织，讲授基础材料和当前的应用。基础将包括Grobner基、环面变种和实代数几何，而应用将来自最优化、非线性计算几何、代数统计和数学生物学。我们将通过包括计算机教程和相关软件的实验室来强调计算方面。我们还将举办客座讲座，解释当前的研究主题。这个多层次的菜单，从入门材料到当前的研究，将确保每个学生从他们的经验中获得一些东西。扩大暑期学校的独立将扩大其影响，并有助于教育下一代美国科学家。它将影响技术从代数几何到应用科学的传播。

For the three weeks, July 22, 2007 through August 10, 2007, The PIs Matusevich and Sottile together with Theobald of the Universitat Frankfurt will organize the 2007 Institute for Mathematics and its Applications (IMA) Participating Institutions Summer Graduate Program on the topic ``Applicable Algebraic Geometry''.The IMA will send up to two students from each of the37 IMA participating institutions to this Summer Graduate Program.This proposal in intended to allow greater participation in this Summer Graduate Program, which will enable more students to take advantage of this opportunity to.This proposal will support the attendance of approximately 13 additional graduate students, mostly from institutions not affiliated with the IMA, but also some students from IMA affiliates.The program will be structured around a course in applicable algebraic geometry, treating foundational material and current applications.The foundations will include Grobner bases, toric varieties, and real algebraic geometry, while the applications will be drawn from optimization, non-linear computational geometry, algebraic statistics, and mathematical biology.We will emphasize computational aspects by including computer tutorials and laboratories on relevant software. We will also have guest lectures explaining current research topics.This multi-tiered menu, ranging form introductory material through current research, will ensure that every student gains something from their experience.Broadening the paraticipation in this Summer School will magnify its impact, and help to educate the next generation of US Scientists.It will influence the spread of techniques from algebraic geometry into the applied sciences.