Geometric Langlands and co-adjoint orbits.

• 主讲人：Prof. Yongbin Ruan (Zhejiang University)
• 举办方： Beijing-Novosibirsk Seminar on Geometry and Mathematical Physics
• 时间： 2022-06-09 16:00 - 2022-06-09 17:00
• 地点： online

Recording: https://disk.pku.edu.cn:443/link/305E993ABF9949487C876F9D881BDE6C
Valid Until: 2026-07-31 23:59

 

Abstract: Geometric Langlands can be interpreted as a mirror symmetry between the moduli space of Higgs bundle of group $G$ via the same moduli space of its Langlands dual $G'$. Once we consider the insertion as a form of parabolic structure or more generally coadjoint orbit, it is clear that the conjectural mirror symmetry of moduli space of Higgs bundle requires a version of mirror symmetry between coadjoint orbits. In the talk, we will explore the possible "coadjoint orbit mirror symmetry".

 

Bio: Yongbin Ruan is currently a professor at IAS of Zhejiang University and is a world well-known mathematician. He was selected as an Academician of the Chinese Academy of Sciences in 2021. He works in the field of symplectic geometry and mathematical physics. He was the founder of many famous theories in mathematics, like (orbifold) Gromov-Witten theory, relative Gromov-Witten theory, Chen-Ruan cohomology and Fan-Jarvis-Ruan-Witten theory. He has made great contributions to the resolution of many famous conjectures, like the Arnold conjecture, the generalized Witten conjecture and LG/CY correspondence conjectures.