Collaborative Research: AGNES, Algebraic Geometry NorthEastern Series

代数几何东北系列（AGNES）是代数几何领域的一系列两年一度的会议。 会议由东北地区的大学协会轮流主办。 该奖项支持将于2020年3月27日至29日在斯托尼布鲁克大学，2020年秋季在宾夕法尼亚大学，2021年春季在布朗大学，2021年秋季在波士顿学院，2022年春季在罗格斯大学和2022年秋季在马萨诸塞州阿默斯特大学举行的六次AGNES会议。 每一次AGNES会议都有两个目标。 首先，每一次会议都促进了数学前沿研究的传播。 每次会议的核心是由顶级数学家的一系列研究讲座;也有研究生和促进新的合作或发展同行关系的活动教育讲座。 第二，每次会议都包括一些旨在支持代表性不足的群体和初级参与者的活动，如小组讨论或网络活动。 该奖项将使AGNES继续在其研究目标方面表现出色，同时扩大推广活动的范围和多样性。有关会议活动的更多信息可以在网站上找到：http://www.agneshome.org/.Algebraic几何学是数学科学中的一个领域，涉及多项式方程的解集。 它与纯数学的许多其他领域有着深刻的联系，如拓扑学、算术、数论、微分几何、动力系统和同调代数。 与此同时，代数几何在应用数学的许多分支学科中都有重要的应用，包括密码学、复杂性理论、数学生物学和计算机视觉。 AGNES的科学范围通过邻近数学学科的讲座而大大丰富，如算术几何，动力学，复几何和计算几何。该奖项反映了NSF的法定使命，并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而被认为值得支持。

The Algebraic Geometry Northeastern Series (AGNES) is a series of biannual conferences in the field of algebraic geometry. The conference is hosted on a rotating basis by an association of universities in the Northeast region. This award supports six AGNES conferences which will be held at Stony Brook University on March 27-29, 2020, at the University of Pennsylvania in Fall 2020, at Brown University in Spring 2021, at Boston College in Fall 2021, at Rutgers University in Spring 2022, and at the University of Massachusetts Amherst in Fall 2022. Each AGNES conference has two goals. First, each conference promotes the dissemination of cutting-edge research in mathematics. The centerpiece of each conference is a series of research lectures by top mathematicians; there are also educational talks for graduate students and events which promote new collaborations or develop peer relationships. Second, each conference includes several activities designed to support under-represented groups and junior participants, such as panel discussions or networking events. This award will allow AGNES to continue to excel at its research goal while broadening the scope and diversity of outreach activities. Further information about conference events can be found at the website: http://www.agneshome.org/.Algebraic geometry is a field in the mathematical sciences concerned with solution sets of polynomial equations. It has deep connections to many other areas of pure mathematics, such as topology, arithmetic, number theory, differential geometry, dynamical systems, and homological algebra. At the same time algebraic geometry has found important applications in many subdisciplines of applied mathematics, including cryptography, complexity theory, mathematical biology, and computer vision. The scientific scope of AGNES is greatly enriched by lectures from neighboring mathematical subjects, such as arithmetic geometry, dynamics, complex geometry, and computational geometry.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.