This is the webpage for a seminar series on Jacquet-Langlands and cyclic base change. Some notes can be found here. WARNING: These are very rough notes I typed up, and should not be used to learn the material. Instead, one should use the sources gathered below. There are many mistakes and inaccuracies in these notes, all of which are due to me, not the speaker.


Talks


24 October 2014, 3 - 4.30pm, L4
Motivation and overview by Andrew.

31 October 2014, 2.30 - 4.30pm, N4.01
The Langlands correspondence and functoriality by Minhyong. Slides.

7 November 2014, 2.30 - 4.30pm, N3.12
Admissible representations of GL(2) by Netan.

14 November 2014, 2.30 - 4.30pm, N3.12
The classification of principal series by Jan.

21 November 2014, 2.30 - 4.30pm, N3.12
Supercuspidals and the Langlands correspondence by Jan.

28 November 2014, 2.30 - 4.30pm, N3.12
Representations of GL(2,R) by Alex. Notes.

5 December 2014, 2.30 - 4.30pm, N3.12
Automorphic forms and local Langlands by Netan.

12 December 2014, 2.30 - 4.30pm, N3.12
The local Langlands correspondence by Chris. Notes.



30 January 2015, 2.30 - 4.30pm, Quillen Room
The compact trace formula by Ben.

6 February 2015, 2.30 - 4.30pm, Quillen Room
The trace formula for GL(2), Part I by Ben.

13 February 2015, 2.30 - 4.30pm, Quillen Room
The trace formula for GL(2), Part II by Ben.

20 February 2015
No seminar

27 February 2015, 2.30 - 4.30pm, Quillen Room
The Jacquet-Langlands correspondence for GL(2) by Ben.


Note: Ben typed up notes for his lectures (appearing soon)


Sources

Bushnell, Henniart - The Local Langlands Conjecture for GL(2). (pdf)
Bernstein, Zelevinsky - Induced representations of reductive p-adic groups I (1977). (pdf)
Notes by Kevin Buzzard on representations of GL(2) in the non-Archimedean local case. (pdf)
Notes from a seminar on Jacquet-Langlands by Yannan Qiu. (pdf)
Notes by Badulescu on Jacquet-Langlands. (pdf)