Student Seminar: Number Theory and Automorphic Forms

Organizers: Lior Silberman, Julia Gordon, Bill Casselman.

Contact: lior

math.ubc.ca

MATX 1112

604-827-3031

Fall 2011: Representation Theory of GL(2,Q_p)

The main reference will be [1] below. The material is also covered in [2]. We will assume familiarity with local fields and the representation theory of finite groups.
To take the seminar for credit please register for MATH 592, section 101. Your grade will mainly be determined based on your lectures.
We will meet on Tuesdays between 2-4pm in MATH 126.

Agenda

Unless noted otherwise, references are to Bushnell-Henniart.

Meeting	Title	Speaker	Notes & References
1. 6/9	Organization	—
2. 13+20/9	GL(2) over finite fields	Justin	Ch. II
3. 20+27/9	Smooth representations of l.c.t.d. groups	Jay	Ch. I
4. 4+11/10	Integration and the Hecke algebra	Asif	Ch. I
5. 11+18/10	Representations of the mirabolic subgroup	Lance	Ch. III
6. 25/10+1/11	Jacquet modules and the principal series	Athena	Ch. III
7. 8+15/11	The Kirillov model	Saman	[2]

References

	Author(s)	Title	Data
[1]	C. Bushnell & G. Henniart	The Local Langlands Conjecture for GL(2)	GdmW 335
[2]	R. Godement	Notes on Jacquet-Langlands Theory	IAS Notes

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Last modified Monday November 14, 2011