Schroedinger Institute Workshop on Mathematical Physics, Number Theory, and Noncommutative Geometry

该奖项为在美国的研究生、博士后助理和初级教师提供支持，让他们参加2015年3月2-13日在奥地利维也纳的欧文·薛定谔国际数学物理研究所举办的研讨会《数学物理、数论和非对易几何之间的相互关系》，(www.esi.ac.at/activities/events/2015/the-interrelation-between-mathematical-physics-number-theory-and-non-commutative-geometry).这个工作坊探索理论物理和纯数学之间的扩展关系，现在从物理中的量子场论扩展到数学中的数论，这两个传统上被认为相距甚远的领域。在过去的20年里，量子场论中新发现的费曼积分与Grothendieck的代数变种动机理论之间的关系已经成为理论和数学物理中越来越重要的话题。数学和物理理论一直在平行发展，迫切需要在从事这些主题的数学和物理研究人员之间建立更多的互动。这次研讨会将汇集这两个领域的研究人员，并将集中在以下研究方向：1)微扰量子场论中的动机和周期；2)振幅和超杨-米尔斯理论；3)重整化中的代数结构；4)关于非对易时空的量子场论。

This award provides support for U.S.-based graduate students, postdoctoral associates, and junior faculty to participate in the workshop "The interrelation between mathematical physics, number theory and non-commutative geometry," March 2-13, 2015, at the Erwin Schroedinger International Institute for Mathematical Physics in Vienna, Austria (www.esi.ac.at/activities/events/2015/the-interrelation-between-mathematical-physics-number-theory-and-non-commutative-geometry). This workshop explores the expanding relationship between theoretical physics and pure mathematics, which now extends from quantum field theory in physics to number theory in mathematics, two fields which were traditionally considered to be far removed from each other. The funds will allow researchers from U.S. institutions to participate in this cutting edge workshop.Over the past two decades, the newly discovered relations between Feynman integrals in quantum field theory and Grothendieck's theory of motives of algebraic varieties has become a topic of growing importance in theoretical and mathematical physics. The mathematical and physical theories have been developing along parallel tracks, and there is a pressing need to create more interaction between researchers from mathematics and physics working on these topics. This workshop will bring together researchers in both fields, and will focus on the following research directions: 1) Motives and periods in perturbative quantum field theory; 2) Amplitudes and super-Yang-Mills theory; 3) Algebraic structures in renormalization; and 4) Quantum field theory on noncommutative spacetimes.