Wenhan Dai

Seminar on Relative Langlands Duality (I)

This seminar focuses on the recent work of Ben-Zvi-Sakellaridis-Venkatesh [BZSV] on relative Langlands duality. We hope that, bringing together with the experts in Beijing, we can possibly understand this work, and hopefully find some future directions.

• Time: Every Monday, 1:00-3:00pm.
• Location: BICMR 82J12.
• Organizer: Wen-wei Li, Liang Xiao, and Bin Xu.

Syllabus

• (9/25) Wen-wei Li: Introduction. (notes, video)
• (10/9) Xiangqian Yang: Hyperspherical Hamiltonian spaces I, [BZSV, §3]. (notes, video)
• (10/16) Wenhan Dai: Hyperspherical Hamiltonian spaces II, [BZSV, §3]. (notes, video)
• (10/23) Fei Chen: Dual Hamiltonian spaces I, [BZSV, §4]. (notes, video)
• (10/30) Daming Zhou: Dual Hamiltonian spaces II, [BZSV, §4]. (video)
• (11/6) Liang Xiao: Hyperspherical duality, [BZSV, §5]. (notes, video)
• (11/13) Xingzhu Fang: Shearing and geometric Satake I, [BZSV, §6], recalling parts of [BZSV, Appendix B]. (notes, video)
• (11/20) Zhiyou Wu: Shearing and geometric Satake II, [BZSV, §6]. (notes)
• (11/27) Marc Besson: Unramified local duality I, [BZSV, §7]. (notes, video)
• (12/11) Marc Besson: Unramified local duality II, [BZSV, §7]. (notes, video)
• (12/18) Fei Chen: Plancherel algebra and Coulomb branch, [BZSV, §8]. (notes, video)
• (1/1) Wen-wei Li: Plancherel formula for spherical functions, [BZSV, §9]. (notes)

Note: The link for recordings of this seminar series are perennially valid.

References

1. [BZSV] David Ben-Zvi, Yiannis Sakellaridis, and Akshay Venkatesh, Relative Langlands duality, preprint, available here.