Math 727: Quaternion Algebras: Algorithms and Arithmetic

Winter 2010

 

Course Info:

• Course: Quaternion Algebras: Algorithms and Arithmetic
• Lectures: Monday, Wednesday, Friday, 10:35 a.m. - 11:25 a.m.
• Dates: 11 January 2010 - 14 April 2010
• Room: Burnside 1205


• Instructor: John Voight
• Office: 1209 Burnside
• E-mail: jvoight@gmail.com
• Office hours: By appointment
• Course Web Page: http://www.cems.uvm.edu/~voight/crmquat/
• Instructor's Web Page: http://www.cems.uvm.edu/~voight/


• Prerequisites: None.


• Required Text: None. See references and course notes below.
• Grading: Weekly homework will count for 100% of the grade.

 

Course Description:

[PDF] Course Description

Our first meeting will be an organizational meeting, held on Thursday, January 7, at 14:30 in Burnside 920. If you cannot make this meeting and are interested in taking the course, please contact me so I know your scheduling constraints.

 

Syllabus:

[PDF] Syllabus

 

Homework:

HW #1: Exercises in sections 2.1, 2.2 ("due" Wednesday, January 27)

HW #2: Exercises in sections 2.3, 2.4, 2.5 ("due" Wednesday, February 3)

HW #3: Exercises in sections 3.1, 3.3 ("due" Wednesday, February 10)

HW #4: Exercises in sections 3.2 ("due" Wednesday, March 3)

HW #5: Exercises in sections 4.1 ("due" Wednesday, March 17)

HW #6: Exercises in sections 4.2, 4.3 ("due" Friday, April 2)

HW #7: Lab (quaternion orders of class number 1), March 29

 

Course Notes:

Please see the latest book draft.

The canonical reference for the arithmetic of quaternion algebras is Vigneras. Apologies for the rough photocopying job!

[PDF] Vigneras, Arithmetique des Algebres de Quaternions

Here is a link to the Magma demo for Monday, February 15.