Note：The lecture on Sept. 20 will be delivered in Jing Zhai 105.

Description:

Periods and relative periods on Calabi-Yau manifolds play an important role in extracting low energy predictions from Superstring compactifications and have mathematical applications in Mirror Symmetry. Recently it has been realized that they are essential building blocks to calculate Feynman integrals in perturbative approaches to quantum field theories, to the Post Minkowskian approximation to general and many other physical problems. This gives a great opportunity to further develop mathematical techniques of current research interest in mixed Hodge Structure, Algebraic- and Arithmetic Geometry.

Notes: 20240918Notes.pdf

Prerequisite:

The course is a short introduction and should be suitable for graduate students in Mathematics and Physics.

Reference:

Klemm, Albrecht, "The B-model Approach to Topological String theory" 79-397. Trends Math. Birkhaeuser/Springer, Cham 2018

Teaching Language: English

Registration: https://www.wjx.top/vm/reZkgzL.aspx#

Speaker's personal website: https://hcm-application.uni-bonn.de/en/people/faculty/profile/arbrecht-klemm/

Recordings: https://archive.ymsc.tsinghua.edu.cn/pacm_course?html=Application_of_Calabi_Yau_periods_in_scattering_amplitudes.html