Conference on Unexpected and Asymptotic Properties of Projective Varieties

这个国家科学基金会奖支持投影品种的意外和渐近性质会议将于2020年5月15日至17日在内布拉斯加州林肯举行。自上一次在意大利锡耶纳举行的关于具有意外特性的品种的会议以来的15年里，这一研究领域的技术水平经历了巨大的发展。尽管有许多基础性的进步，但仍有许多经典研究的问题没有得到令人满意的解决。会议将突出这一研究领域近年来的变革性发展，并为未来的研究制定新的方向。为此，我们将汇集该领域的专家，并精心挑选参与者，以确保学生和初级研究人员以及来自数学科学代表性不足的群体的个人的参与。进一步的细节可以在会议网站http://www.math.unl.edu/~aseceleanu2/BrianFest2020.htmlThe找到会议的主题广泛地锚定在交换代数和代数几何，重点是代数几何中的插值问题和齐次理想的渐近不变量。本次会议的总体目标是汇集交换代数和代数几何专家，讨论共同感兴趣的三个主题：理想的符号幂，线性系统的渐近不变量和意外的品种。尽管这些概念产生的背景不同，它们与许多领域有联系，但这些主题中的每一个都与其他主题密切相关。从事这些主题的数学家之间的交流至关重要，并且已经取得了重大进展。会议规模相对较小，其学科重点将特别有效地使与会者建立富有成效的合作关系。该奖项反映了NSF的法定使命，并已被认为是值得通过使用基金会的智力价值和更广泛的影响审查标准进行评估的支持。

This National Science Foundation award supports the Conference on Unexpected and Asymptotic Properties of Projective Varieties that will take place on May 15-17, 2020 in Lincoln, Nebraska. In the intervening fifteen years since the previous conference on varieties with unexpected properties took place in Sienna, Italy, the state of the art in this area of research has undergone tremendous developments. Despite numerous foundational advances, there are many classically studied problems that still do not have a satisfactory resolution. The conference will highlight the transformative developments undergone by this area of research in recent years and formulate new directions for future research. Towards this end, we will bring together experts in the field and carefully select participants to ensure involvement of students and junior investigators and of individuals from groups under-represented in the mathematical sciences. Further details can be found at the conference website http://www.math.unl.edu/~aseceleanu2/BrianFest2020.htmlThe topic of the conference is anchored broadly in commutative algebra and algebraic geometry, with a focus on interpolation problems in algebraic geometry and asymptotic invariants of homogeneous ideals. The overall objective of this conference is to bring together experts in commutative algebra and algebraic geometry to confer on three topics of common interest: symbolic powers of ideals, asymptotic invariants of linear systems, and unexpected varieties. Despite the diverse contexts in which these notions arise and the many areas they exhibit connections to, each of these topics is closely related to the others. Communication among mathematicians working on these topics is vital and has already led to significant progress. The relatively small size of the meeting and its disciplinary focus will be particularly effective at enabling participants to establish productive collaborative relationships.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.