中文 РусEng
您现在的位置： 首页» 学术研究» 学术报告

学术研究

MENU

【学术报告】 Deformation theory of Schroedinger equation arising from singularity theory

  • 主讲人：Prof. Huijun Fan (Peking University)
  • 时间：周五21:00-22:00，2020-05-29
  • 地点：online

Beijing-Moscow Mathematics Colloquium (online) 

摘要（Abstract）

 

Mirror symmetry phenomenon relates many mathematical branches in a mysterious way. For example, it is conjectured that the quantum geometry of a Calabi-Yau hypersurface is equivalent to the quantum singularity theory of the corresponding defining function. When we consider the complex structure deformation of the two sides, we get the B model mirror conjecture, where the exciting structures of deformation moduli space, Gauss Manin connection, period mapping and etc.will appear. In this lecture, I will report another way to study the deformation theory of singularity via Schroedinger equation. By study the spectral theory of Schroedinger equation, we can build the variation of Hodge theory, Gauss-Manin connection by wave function, Frobenius manifold for some cases and even BCOV type torsion invariants for singularity.

 

TOP