The topological vertex, developed by Aganagic, Klemm, Marino and Vafa, provides an explicit algorithm to compute the open Gromov-Witten invariants of smooth toric Calabi-Yau threefolds in mathematics, as well as the A-model topological string amplitudes in physics. In this talk, I will introduce our recent work about the connection between the topological vertex and multi-component KP hierarchy. This talk is based on a joint work with Zhiyuan Wang and Jian Zhou.

Speaker Biography: Chenglang Yang

Dr. Chenglang Yang is currently a postdoctoral researcher at the Institute of Mathematics, Chinese Academy of Sciences (CAS). He received his B.S. degree from Beijing Institute of Technology and his Ph.D. from Peking University, under the supervision of Professor Xiaobo Liu.

Dr. Yang's research focuses on mathematical physics, encompassing Gromov-Witten invariants, integrable systems, and Schur Q-polynomials. He has published several papers in renowned journals such as Advances in Mathematics and Letters in Mathematical Physics.