Introduction to the local Langlands correspondence
Tuesday 2,3,4 (9:10-12:10) @ Astro-Math Building 201
Office Hour: Tuesday 13:30-15:00 @ Astro-Math Building 427
Notice
- Lecture will not be given on 2025-03-11 (I will attend Arizona Winter School).
- Lecture will be given online on 2025-04-08.
- Lecture will not be given on 2025-06-03 (This course has no exam).
- The evaluation will be based only on reports. Deadline is 2025-06-06 (24:00).
Week 1 (2025-02-18)
Course overview
Week 2 (2025-02-25)
Overview of local class field theory
Week 3 (2025-03-04)
Representations of locally profinite groups
Week 4 (2025-03-18)
Irreducible smooth representations of GL(2)
Week 5 (2025-03-25)
Representations of Weil groups
Week 6 (2025-04-01)
Local Langlands correspondence for GL(n)
Week 7 (2025-04-08)
Local Langlands correspondence for general groups
online @ https://masaooi-421.my.webex.com/meet/masaooi
Because I encountered a technical issue, I still haven't been able to start my meeting room.
Now I feel it's difficult to have today's lecture as planned, so please allow me to upload a video later instead of giving it online.
I'm terribly sorry for the inconvenience...
I'm going to upload the video via NTUCOOL.
If you cannot access it, please contact me directly.
(2025-04-08, 9:53)
I just uploaded.
(2025-04-08, 16:03)
Week 8 (2025-04-15)
Philosophy of Langlands functoriality
Week 9 (2025-04-22)
More about local Langlands correspondence for general groups
Week 10 (2025-04-29)
Local Jacquet-Langlands correspondence for GL(2)
Week 11 (2025-05-06)
Unramified local Langlands correspondence
Week 12 (2025-05-13)
Local Langlands correspondence for classical groups
Week 13 (2025-05-20)
More about LLC for classical groups
Week 14 (2025-05-27)
Explicit LLC for supercuspidal representations: Overview
Course note is here.
Please feel free to contact me!
Office: Astro-Math Building 427
Mail: masaooi at ntu.edu.tw