清华主页 EN
导航菜单

On the Geometry of Landau-Ginzburg Model

来源: 03-24

时间:17:00-18:30, Mar. 24, 2023

地点:Zoom: 815 4690 4797(PW: BIMSA)

组织者:Nicolai Reshetikhin, Andrey Tsiganov, Ivan Sechin

主讲人:Huijun Fan Peking University, Sino-Russian Math Center

Abstract

An LG model (M, f) is given by a noncompact complex manifold M and the holomorphic function f defined on it, which is an important model in string theory. Because of the mirror symmetry conjecture, the research on the geometric structure and quantization theory of LG model has attracted more and more attention. Given a Calabi-Yau (CY) manifold, we can define Gromov-Witten theory (A theory) on it, and also study the variation of Hodge structure on its mirror manifold (B theory). Accordingly, LG model includes A theory - FJRW theory and Hodge structure variational theory. This report starts with some examples, gives the geometric and topological information contained by a LG model, and derives the relevant Witten equation (nonlinear) and Schrodinger equation (linear). The study of the solution space of these two sets of equations will lead to different quantization theories. Secondly, we give our recent correspondence theorem of Hodge structures between LG model and CY manifold. Finally, we will discuss some relevant issues.

返回顶部
相关文章
  • Methods and Theory on Model Selection and Model Averaging

    DescriptionModel selection and its diagnosis are foundational elements in modern statistical and machine learning applications that serve the purpose of obtaining reliable information and reproducible results. In this short course, we introduce the principles and theories on model selection and model averaging and their applications in high-dimensional regression. Model selection methods includ...

  • Algebraic Geometry Seminar

    日程 ScheduleUpcoming talks Speaker: Yu Zou (Fudan University)Date: June 9, 2022Time: 15:30-16:30Zoom Meeting ID: 455 260 1552Passcode: YMSCZoom link: https://zoom.us/j/4552601552?pwd=cWxBUjlIN3dxclgrZWFEOC9jcmlwUT09Title: On explicit birational geometry of weak Q-Fano 3-foldsAbstract: For a canonical weak Q-Fano 3-fold, we investigate the upper bound of the anti-canonical volume -K^3 and ...