2003-2004 Albany Group Theory Conferences

摘要奖：DMS-0314797首席研究员：Edward C.Turner该奖项为专题演讲者和一些参加2003和2004年Albany群理论会议的研究生提供部分支持。这些会议将是致力于群论和拓扑学之间相互作用的系列会议中的第十三和第十四次。将有七位主要演讲者，每人做一个小时的演讲。此外，还将有20-25个参与者的简短演讲。会议将于2003年10月和2004年10月在伦塞勒维尔会议中心举行。可以获得更多信息的是数学对象，它们从几何对象的所有对称的集合中提取基本属性(例如，考虑正方形的所有八个对称，它们可以由围绕中心的旋转和围绕对角线的反射组成)。(athttp://nyjm.albany.edu/~ted/03conf.html.Groups)我们经常可以扭转这种抽象的过程，将群视为正确的几何对象，从而解决源于代数、拓扑学、组合学和可计算性的问题。

AbstractAward: DMS-0314797Principal Investigator: Edward C. TurnerThis award provides partial support for the featured speakers andfor some graduate students to attend the 2003 and 2004 AlbanyGroup Theory Conferences. The conferences will be the thirteenthand fourteenth in a series of conferences dedicated to theinterplay between group theory and topology. There will be sevenmain speakers, each of whom will give a one hour talk. Inaddition, there will be 20 - 25 short talks by participants. Theconference will be held at the Rensselaerville Conference Centerin October of 2003 and 2004. Further information is available athttp://nyjm.albany.edu/~ted/03conf.html.Groups are mathematical objects that abstract the essentialproperties from the collection of all symmetries of a geometricobject (for example, think of all eight symmetries of a square,which can be composed of rotations about the center and ofreflections about a diagonal). We can often turn this process ofabstraction around and treat groups as geometric objects in theirown right, with consequences for problems that originate inalgebra, topology, combinatorics, and computability.