A view towards algebraic geometry

该奖项支持参加题为“对代数几何的看法”的会议，该会议将于2017年5月1日至5日在玛莎葡萄园岛的海景酒店举行。本次会议汇集了交换代数和代数几何领域的顶尖专家，向听众介绍过去几年的主要发展，推进新的研究问题和方向，并在不同的子领域之间建立创新的联系。虽然所有的演讲者都因为他们在最近的发展中所扮演的角色而被选中，但许多人也因为他们的沟通技巧和他们对培养年轻数学研究人员的奉献而被选中。组织者希望所有的演讲都有一个重要的教学组成部分，针对听众中的初级研究人员。该奖项将用于支持40名初级数学家（定义为研究生，博士后和博士毕业5年内的研究人员）的参与。演讲者的专业知识涵盖了广泛但相互关联的主题范围。然而，显式代数方法和代数几何的应用形成了一个连贯的潜在主题。会议的主要主题包括代数几何和交换代数中协同的最新进展；代数变量的合理性与稳定合理性和渐近稳定性。这三个不同的主题并不是互不相干的，许多演讲者和参与者都在不止一个领域工作。总的来说，已经作出努力，将来自相关但不同领域的参与者聚集在一起，以鼓励思想和技术的相互交流。更多信息请访问会议网站：https://sites.google.com/site/aviewtowardag/home。

This award supports participation in a conference entitled "A View Toward Algebraic Geometry" which will be held May 1-5, 2017, at the Harbor View Hotel, on Martha's Vineyard. This meeting brings together leading experts in commutative algebra and algebraic geometry to inform the audience of the major developments from the past few years, to advance new research problems and directions, and to establish innovative connections between different subfields. While all of the speakers were chosen for their role in the recent developments, many were also chosen for their communication skills, and their dedication to developing young researchers in mathematics. The organizers expect that all talks will have an important didactic component, aimed at the junior researchers in the audience. The award will be used to support the participation of 40 junior mathematicians (defined as graduate students, postdocs, and researchers within 5 years of their PhD).The expertise of the speakers covers a broad, but interrelated, range of topics. Nevertheless, explicit algebraic methods and applications of algebraic geometry form a coherent underlying theme. Major themes of the conference include the recent progress on syzygies in algebraic geometry and commutative algebra; rationality and stable rationality of algebraic varieties; and asymptotic stability. These three distinct topics are not disjoint, with many of the speakers and participants working in more than one area. In general, an effort has been made to bring together participants from related, but different, fields, in order to encourage the cross-fertilization of ideas and techniques. Further information is available at the conference's website: https://sites.google.com/site/aviewtowardag/home.