Geometric Group Theory on the Gulf Coast

这项提议是为墨西哥湾沿岸几何群论（缩写为G^3）的三次年度会议提供资金；下一次会议将于2014年3月27日至30日在佛罗里达州彭萨科拉举行。在过去的十年里，几何群论与数学的其他部分，如渐近和粗糙几何、算子代数和Novikov型猜想、群边界的分析和动力学、离散群和非正弯曲空间，有着密切的相互作用和相互作用。这些是独立的领域，但它们越来越多地相互借鉴技术、例子和见解，它们的丰富性和相互作用反馈给几何群论，并为其发展提供了强大的动力。会议的智力目标是聚集来自这些邻近领域的研究人员，这样他们就可以在与学生和初级数学家互动的同时分享想法和专业知识。G^3会议的重点是几何群论与数学其他部分的相互作用。自1998年以来，G^3每年在墨西哥湾沿岸的不同地方举行，它已成为一个既定的和受欢迎的国际会议。多年来，许多不同的人参加了G^3，它以独特的友好氛围而闻名，这有助于促进成熟和初级数学家的互动，启动事业和合作，并建立几何群论的社区意识。会议网站是http://www.math.uiuc.edu/~mineyev/ggg/。

This proposal is to provide funding for the three annual meetings on Geometric Group Theory on the Gulf Coast (abbreviated G^3); the next conference will be held in Pensacola, FL on March 27-30, 2014. The last decade has seen intense interactions and cross-fertilization of geometric group theory with other parts of mathematics such as asymptotic and coarse geometry, operator algebras and Novikov type conjectures, analysis and dynamics on group boundaries, discrete groups and nonpositively curved spaces. These are separate fields yet they increasingly borrow techniques, examples, and insights from each other, and their richness and interplay feeds back to the geometric group theory, and provides strong motivation for its development. The intellectual goal of the conference is to assemble researchers from these neighboring fields, so they can share ideas and expertise while interacting with students and junior mathematicians.The G^3 conference focuses on interactions of geometric group theory with other parts of mathematics. G^3 has been held annually since 1998 at various places on the Gulf Coast, and it has become an established and popular international meeting. Over the years a great many different people attended G^3, and it has become well-known for a unique friendly atmosphere which helped foster interactions of established and junior mathematicians, jump-start careers and collaborations, and build the sense of community in geometric group theory.The conference website is http://www.math.uiuc.edu/~mineyev/ggg/.