学术活动
拓扑量子场论和几何不变量
2015-05-14
来源：科技处 供稿：冀俊宇 点击次数：
主 讲 人：阮勇斌 教授（北大国际数学中心，University of Michigan）
时 间： 2015年5月14日（周四）10：30-11：30
地 点： 必赢76net线路官网北一区文科楼 708 教室
主 办 单 位： 必赢76net线路官网数学科学学院
内 容 介 绍：During last thirty years, the development of quantum field theory and string theory has generated a new wave of interactions between physics and mathematics. In the process, it revolutionized several subjects of mathematics. For examples, a large portion of Fields medalist during last thirty years have their main works in these subjects. A core object of "new" math-physics is the notion of topological quantum field theory (TQFT). It directly leaded to several powerful new geometric invariants in mathematics such as Seiberg-Witten invariants, Gromov-Witten invariants and FJRW-invariants. TQFT itself was motivated by an early invariant-Donaldson invariants. In the talk, we focus on so called "cohomological TQFT". We will use topological sigma model as an example to show how to obtain a TQFT from the twisting. Then, we will shift to its mathematical counterpart-Gromov-Witten invariants. We will close the talk by discussing a closely related invariants FJRW-invariants which arises from topological Landau-Ginzburg model.
时 间： 2015年5月14日（周四）10：30-11：30
地 点： 必赢76net线路官网北一区文科楼 708 教室
主 办 单 位： 必赢76net线路官网数学科学学院
内 容 介 绍：During last thirty years, the development of quantum field theory and string theory has generated a new wave of interactions between physics and mathematics. In the process, it revolutionized several subjects of mathematics. For examples, a large portion of Fields medalist during last thirty years have their main works in these subjects. A core object of "new" math-physics is the notion of topological quantum field theory (TQFT). It directly leaded to several powerful new geometric invariants in mathematics such as Seiberg-Witten invariants, Gromov-Witten invariants and FJRW-invariants. TQFT itself was motivated by an early invariant-Donaldson invariants. In the talk, we focus on so called "cohomological TQFT". We will use topological sigma model as an example to show how to obtain a TQFT from the twisting. Then, we will shift to its mathematical counterpart-Gromov-Witten invariants. We will close the talk by discussing a closely related invariants FJRW-invariants which arises from topological Landau-Ginzburg model.
