This is a series seminar organized by MCM on Symplectic Geometry and Mathematical Physics at MCM410 on each Wednesday. If you have any questions, please feel free to contact us (mcmoffice@math.ac.cn).
Yalong Cao and Zhengyi Zhou
Each Wednesday, MCM410
Upcoming talks:
Date: May 15, 2024
Time: 10:30-11:30
Speaker: Prof. Zhengyu Zong (Tsinghua Univ)
Title: Open WDVV equations for toric Calabi-Yau 3-folds
Abstract: The Witten-Dijkgraaf-Verlinde-Verlinde (WDVV) equations is an important system of equations in the study of genus zero Gromov-Witten invariants. It implies the associativity of the quantum product. The associativity of the quantum product has many important applications including the recursive formula given by Kontsevich and Manin that calculates the Gromov-Witten invariants of the projective plane. The system of open WDVV equations plays an important role in the study of open Gromov-Witten invariants. It can be viewed as an extension of the WDVV equation to the open sector. The natural structure that captures the WDVV equation is that of a Frobenius manifold. Similarly, the system of open WDVV equations determines the structure of an F-manifold, a generalization of a Frobenius manifold.
In this talk, we prove two versions of open WDVV equations for toric Calabi-Yau 3-folds. The first version leads to the construction of a semi-simple (formal) Frobenius manifold and the second version leads to the construction of a (formal) F-manifold. This is a joint work with Song Yu.
Date: May 29, 2024
Time: 10:30-11:30
Speaker: Prof. Bohan Fang (Beijing International Center for Mathematical Research)
Title: TBC
Abstract: TBC
Date: May 29, 2024 (Wednesday)
Time: 16:30-17:30
Speaker: Prof. Qizheng Yin (Beijing International Center for Mathematical Research)
Title: TBC
Abstract: TBC
Date: May 31, 2024 (Friday)
Time: 14:00-15:00
Speaker: Oliver Edtmair (ETH Zurich)
Title: TBC
Abstract: TBC
Date: June 5, 2024
Time: TBC
Speaker: TBC
Title: TBC
Abstract: TBC
Date: June 12, 2024
Time: 14:00-15:00
Speaker: Dr. Yu-Wei Fan (YMSC)
Title: TBC
Abstract: TBC
Date: June 19, 2024
Time: 14:00-15:00
Speaker: Dr. Honghao Gao (YMSC)
Title: TBC
Abstract: TBC
Date: June 26, 2024
Time: 14:00-15:00
Speaker: Dr. Yu Pan (Tianjin University)
Title: TBC
Abstract: TBC
Date: April 10, 2024
Time: 10:30-11:30
Speaker: Prof. Si Li (Tsinghua Univ)
Title: Holomorphic Chern-Simons at Large N
Abstract: We describe the coupling of holomorphic Chern-Simons theory at large N with Kodaira- Spencer gravity. The 1st order deformation is realized by the Loday-Quillen-Tsygan Theorem on the Lie algebra cohomology of large N matrices. We show that the dynamics of Kodaira-Spencer gravity is fully recovered from this large N holomorphic Chern-Simons theory.
