Algebraic Geometry Seminar
(Canceled/postponed) Morphisms in the Dolbeault—Langlands TQFT
2025/07/09 (Wed.) 15:00~17:00
- Date : 2025/07/09 (Wed.) 15:00~17:00
- Location : Auditorium, 6 Floor, Institute of Mathematics (NTU Campus)
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Speaker : Eric Yen-Yo Chen (EPFL/IPMU)
- Organizer : Ionut Ciocan-Fontanine and Adeel Khan and Y.P. Lee (AS)
- Abstract : Following the seminal proposals of Kapustin--Witten and Gaiotto--Witten, we may interpret “Langlands' correspondence” as S-duality between families of twists of 4D gauge theories. In this talk, we discuss a program involving joint work in progress with Emilio Franco, Enya Hsiao, and Mengxue Yang, in which we explore and realize some features of this hypothetical Langlands TQFT focusing on the Dolbeault twist. Our experiments are directly motivated by the relative Langlands program of Ben-Zvi--Sakellaridis--Venkatesh, recovering conceptual reformulations of a key construction in higher Teichmüller theory, and we explain mirror symmetry phenomena informed by an automorphic integral of Jacquet--Shalika.
