Arithmetic Topological Field Theory and Relative Langlands Duality
Organisers: Minhyong Kim (ICMS and KIAS) and Sug Woo Shin (UC Berkeley and KIAS)
In this online seminar, we will try to understand portions of a new preprint by David Ben-Zvi, Yiannis Sakellaridis, and Akshay Venkatesh:
https://www.math.ias.edu/~akshay/research/BZSVpaperV1.pdf
If you are interested in participating, contact Minhyong Kim.
Unless there is specific objection from the speakers, the sessions will be recorded.
Schedule
Session 1:
2023/10/31 11:00-13:00 (UK time)
Speaker: Sug Woo Shin
Title: Dual groups of spherical varieties
Abstract: After a general introduction, I will explain the dual group of a spherical variety following Gaitsgory-Nadler and Sakellaridis-Venkatesh.
Session 2:
2023/11/07 11:00-13:00 (UK time)
Speaker: Sug Woo Shin
Title: Local and global conjectures on automorphic periods
Abstract: In the context of spherical varieties, some local and global conjectures in Sakellaridis-Venkatesh will be discussed. The local part describes the Plancherel decomposition of the L2 space of a spherical variety. The global conjecture, modeled on the Ichino-Ikeda conjecture, will then express a global period in terms of local periods arising from the local conjecture.
Session 3:
2023/11/14 11:00-13:00 (UK time)
Speaker: Minhyong Kim
Title: A Slice of TQFT for Number Theorists 1
Abstract: This is the first of two talks that will try to familiarise number-theorists with minimal prior knowledge of physics to *some* of the notions that might be useful in understanding the BZSV paper. Obviously, caveat emptor.
Session 4:
2023/11/21 11:00-13:00 (UK time)
Speaker: Minhyong Kim
Title: A Slice of TQFT for Number Theorists 2
Abstract: This is the second of two talks that will try to familiarise number-theorists with minimal prior knowledge of physics to *some* of the notions that might be useful in understanding the BZSV paper. We will discuss TQFTs and arithmetic analogues.
Session 5:
2023/11/28 11:00-13:00 (UK time)
Speaker: Dennis Gaitsgory
Title: proof of the geometric Langlands conjecture 1
Abstract: in the course of these two talks we will explain the construction of the Langlands functor (in the context of D-modules), and outline the steps in the proof that it is an equivalence of categories. This is a joint work with Arinkin, Beraldo, Chen, Faergeman, Lin, Raskin and Rozenblyum.
Session 6:
2023/12/05 11:00-13:00 (UK time)
Speaker: Dennis Gaitsgory
Title: proof of the geometric Langlands conjecture 2
Abstract: in the course of these two talks we will explain the construction of the Langlands functor (in the context of D-modules), and outline the steps in the proof that it is an equivalence of categories. This is a joint work with Arinkin, Beraldo, Chen, Faergeman, Lin, Raskin and Rozenblyum.
Session 7:
2023/12/12 11:00-13:00 (UK time)
Speaker: Jack Thorne
Title: TBC
Session 8:
2023/12/19 11:00-13:00 (UK time)
Speaker: David Kazhdan
Title: TBC
Session 9:
2024/01/23 19:00-21:00 (UK time)
Speaker: Pavel Safronov
Title: Boundary Conditions and L-sheaves 1
Session 10:
2024/01/30 19:00-21:00 (UK time)
Speaker: Pavel Safronov
Title: Boundary Conditions and L-sheaves 2