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