Participant Support: 2011 Mittag-Leffler Institute

这笔赠款将使年轻的数学家-研究生、博士后候选人和初级教员-能够出席和参加与米塔格-莱弗勒研究所2011年"代数几何“方案一起举行的卫星会议，以期实现应用。“卫星会议将在挪威的奥斯陆和瑞典的斯德哥尔摩举行，会议的组织和地点将使年轻的研究人员有足够的时间在国际环境中会面、互动和分享数学思想。会议的重点包括代数几何在科学中的应用，解决多项式方程，和算法开发。虽然代数几何传统上被认为是纯数学的核心领域，近年来它的技术已被用来推进应用数学的方法。例如，代数几何技术已被用来证明多项式参数化的统计模型中的参数的可识别性结果。在其他领域-生物学，编码理论，密码学，量子计算，机器学习和优化-最近研究人员采用代数几何方法做出了宝贵的贡献。

This grant will enable young mathematicians -- graduate students, post-doctoral candidates, and junior faculty members -- to attend and participate in satellite conferences held in conjunction with the Mittag-Leffler Institute's 2011 program ``Algebraic geometry with a view towards applications." The satellite conferences will take place in Oslo, Norway and Stockholm, Sweden, and the organization and venues will permit ample time for young researchers to meet, interact, and share mathematical ideas in an international setting. The focus of the conferences include applications of algebraic geometry in the sciences, solving polynomial equations, and algorithm development.Although algebraic geometry has traditionally been considered a core area of pure mathematics, in recent years its techniques have been utilized to advance methods in applied mathematics. For example, algebraic geometric techniques have been used to prove identifiability results for parameters in statistical models which are parameterized by polynomials. In other areas also -- biology, coding theory, cryptology, quantum computing, machine learning, and optimization for example -- valuable contributions have been made recently by researchers employing methods from algebraic geometry.