Algebraic Geometry and Bethe Ansatz

by Prof. Yunfeng Jiang (School of Physics and Shing-Tung Yau Center)

Friday 28 Apr 2023, 15:00 → 16:00 Asia/Shanghai

TDLI Meeting Room N600 (East Wing of Floor 6, North Building)

Abstract

Computational algebraic geometry (CGA) and Bethe ansatz seems to be two distant research areas. In this talk, I will show that by combining the powerful tools such as Groebner basis and companion matrix in CGA with Bethe ansatz, we can develop new analytic methods to compute a large number of physical quantities for integrable spin chains of finite length. These methods have wide applications ranging from high energy physics to condensed matter physics. I will first present the basic ideas of the method and then discuss various applications in different research areas.

Biography

Prof. Jiang received his PhD from Sorbonne University (Universite Pierre et Marie Curie before 2018) in 2015, Paris, France. He then moved to ETH Zurich and later to CERN for postdoctoral researches from 2015 and 2021. He joined Southeast University in 2021 and is currently a professor at School of Physics and Shing-Tung Yau Center. His main research interests include integrable systems and their applications, quantum field theory and quantum gravity.

Division

Condensed Matter

Other information

Vedio link: https://vshare.sjtu.edu.cn/open/9c569e850b687599c36fdfae99a26005