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# «Geometric Langlands and co-adjoint orbits»

 Lecturer Yongbin Ruan Professor, IAS of Zhejiang University Bio: Yongbin Ruan is a professor at IAS of Zhejiang University, currently. He is a world well-known mathematician who was selected as an Academician of the Chinese Academy of Sciences since 2021. He works in the field of Symplicit Geometry and Mathematical Physics. Prof. Ruan 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 a lot of contributions to the resolution of many famous conjectures, like Arnold conjecture, the generalized Witten conjecture and LG/CY correspondence conjectures.

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".

The lecture will be held in English in the form of a webinar on the Zoom platform.

15:00 - 16:00 Beijing time（10:00 - 11:00 Moscow time)

Join Zoom Meeting:

Meeting ID：830 6100 5763

Passcode：217006

## Lecture recording

https://rutube.ru/video/091d12bd63d002918e4a1d4272e6d03c/