Time: 4:15 pm - 5:45 pm on Wednesdays
Location: 507 Mathematics
Dinner: Meet at 6 pm in the Mathematics Building Lobby
This semester Shizhang Li, Samuel Mundy and I are organizing a learning seminar on the Langlands program. The main goals are to understand the statements of the Langlands conjecture (over global and local fields)
and the geometric Langlands conjecture, and to survey some of the known results.
Of relevance to this seminar is Michael Harris' topics course on the trace formula and p-adic L-functions, as well as the student algebraic geometry seminar (organized by Shizhang Li and Carl Lian) on perverse sheaves and the decomposition theorem.
Please email me if you would like to join the mailing list for this seminar.
The schedule is tentative and subject to change as the seminar moves along.
Note that Lecture 1 (January 18) took place in 622 Mathematics, but the seminar has since been moved to 507 Mathematics for the rest of the semester.
|Lecture 1||January 18||Samuel Mundy||Tate's thesis||[Mun]|
|Lecture 2||January 25||Pak-Hin Lee||Langlands for GL(1), and an overview of the Langlands conjectures|
|Lecture 3||February 1||Qixiao Ma||Galois representations and L-functions||[BG, Ch. 4], [T, §1-2]|
|Lecture 4||February 9
|Samuel Mundy||Weil--Deligne representations, and compatible systems of Galois representations||[T, §1-2]|
|Lecture 5||February 15||Yang An||From modular forms to automorphic representations||[BG, Ch. 7], [T, §3]|
|Lecture 6||February 22||Samuel Mundy||Automorphic L-functions||[GH, Ch. 11]|
|Lecture 7||March 1||Pak-Hin Lee||The global Langlands correspondence for GL(2)||[BG, Ch. 10], [Bum, Ch. 2], [C], [K]|
|Lecture 8||March 9
|Pak-Hin Lee||The local Langlands correspondence for GL(2) over R, and more on the global correspondence|
|No talk||March 15||Spring Break|
|Lecture 9||March 22||Qirui Li||The local Langlands correspondence for GL(2) over p-adic fields||[Buz]|
|Lecture 10||March 29||Qirui Li||The local Langlands correspondence for GL(2) over p-adic fields (continued)||[Buz]|
|David Hansen||Langlands functoriality: motivations and applications|
|Lecture 11||April 7
|Michael Harris||Special lecture: Counting points on compact Shimura varieties, and the trace formula
(Location: 407 Mathematics)
|Lecture 12||April 12||Shizhang Li||Algebraic theory of Drinfeld modules||[DH, Ch. 1], [Fl, Ch. 3-4]|
|Lecture 13||April 19||Jingwei Xiao||Analytic theory of Drinfeld modules||[DH, Ch. 2]|
|Lecture 14||April 26||Daniel Gulotta||Covering space of Drinfeld moduli spaces, and the correspondence between Drinfeld modules and shtukas||[DH, Ch. 3], [D2], [Mum], [Go, Ch. 6]|
|Lecture 15||May 3||Shizhang Li||Cohomology of Drinfeld moduli spaces||[DH, Ch. 4]|
|Lecture 16||May 10||Daniel Litt||Overview of Drinfeld's proof of the Langlands correspondence for GL(2) over function fields||[DH, Ch. 5], [D], [Fl]|
Last updated: April 19, 2017.Back to my homepage