Student Seminar: Number Theory and Automorphic Forms

Organizers: Lior Silberman, Julia Gordon

Contact: lior

math.ubc.ca

MATX 1112

604-827-3031

Fall 2017: Algebraic Number Theory

We will study algebraic number theory following Weil's monograph, "Basic Number Theory" [1]. Rough topics include local field (and local division algebras), global fields, and simple algebras over global fields (including and zetafunctions of division algebras over global fields).

Meetings: Mondays 15:00-17:00 at ESB 4127
Graduate students can take the seminar for credit by signing up for MATH 592A, section 101.
Organizational meeting Friday September 9th, 13:00 at MATH 126.

Agenda

Section references are to [1] unless noted otherwise.

Meeting	Title	Speaker	Material
1. 18/9	Local fields	Nikhil Kher	§§I.2-4
2. 25/9	Lattices and duality	Ashvni Narayanan	Ch.II
3. 2/10	Places of A-fields	Nicolas Lai	Ch.III
4. 16/10	Adeles	Zvi Shem-Tov	Ch.IV
5. 23/10	(continued) Algebraic Number Fields	(continued) Sivasankar Nair	Ch.V
6. 30/10	(continued)	(continued)
7. 6/11	Zetafunctions of A-fields	Ed Belk	Ch. VII
6. 20/11	(continued)	(continued)

References

	Topics	Author(s)	Title	Data
[1]		André Weil	Basic Number Theory	Springer, 1973

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