Trimester in Combinatorics and Control COCO 2010

该奖项支持美国参与者在马德里参加为期一学期的技术研究研讨会、课程、合作访问和国际会议，主题领域是传统控制理论和组合代数的边界。这三个月的事件序列是由组合代数，特别是组合Hopf代数的最新创新及其在数值积分和控制中的强大应用所推动的。该方案包括：*4月初在马德里举行的为期一周的技术讲习班。目标是将来自不同领域的专家和年轻的创新者聚集在一起，调查每个领域的最新水平，并就有可能迅速取得进展的研究课题达成共识。*4月中旬在西班牙萨拉戈萨举办为期一周的学校，目标是计划在控制和现代组合学领域进行研究的数学、物理和相关领域的研究生和博士后。这些领域的四名资深研究人员将领导这所学校，其中包括讲座和习题集。*为期一个月的与控制有关的组合学高级课程，5月在马德里开设。*专注于研究合作。4月中旬至6月中旬，由两至四名研究人员组成的小组将在马德里就研讨会确定的研究主题进行为期两至四周的合作。这些合作的目的是将富有创造力的年轻人才与该领域经验丰富的领导者联系起来。*六月在马德里举行为期一周的国际会议。之前活动的参与者将展示他们的结果，重新定义未来研究的目标，并为未来的合作奠定基础。这项活动承诺建立新的长期国际研究合作，并促进这一前景广阔的跨学科领域的研究。会议网址：http://dftuz.unizar.es/coco2010/

This award supports U.S. participants in a Madrid-based semester-long sequence of technical research workshops, courses, collaborative visits, and an international conference in a subject area at the boundary of traditional control theory and combinatorial algebra. The three-month sequence of events is motivated by recent innovations in combinatorial algebra, particularly combinatorial Hopf algebras, and their powerful application in numerical integration and control. The program consists of:* A week-long technical workshop in early April in Madrid. The goal is to bring together experts and young innovators from different areas, survey the state of the art in each, and forge consensus on research topics in which swift progress is feasible.* A mid-April week-long school in Zaragoza, Spain aimed at graduate students and postdocs in mathematics, physics, and related areas who are planning to do research in the field of control and modern combinatorics. Four established researchers in these fields will lead the school, which is to include lectures and problem sets. * A month-long advanced course on combinatorics relevant to control, offered in Madrid in May. * Focused research collaborations. Small teams of two to four researchers will collaborate in Madrid for periods from two to four weeks during mid-April to mid-June on the research themes identified in the workshop. It is intended that these collaborations will connect creative young talents with experienced leaders in the fields. * A week-long International Conference held in Madrid in June. Participants of the preceding events will present their results, redefine objectives for future research, and lay the foundation for future collaborations. The activity promises to build new long-term international research collaborations and to catalyze research in this promising interdisciplinary area.Conference web site: http://dftuz.unizar.es/coco2010/