Math 125: Quaternion algebras

Spring 2014

 

Course Info:

 

Syllabus:

[PDF] Syllabus

 

Text:

Please see the latest book draft.

 

Homework:

The homework assignments will be assigned on a varying basis and will be posted below. Homework is required for undergraduates and optional but strongly encouraged for graduate students. In general, it is due in one week, but late homework will be accepted.

Cooperation on homework is permitted (and encouraged), but if you work together, do not take any paper away with you--in other words, you can share your thoughts (say on a blackboard), but you have to walk away with only your understanding. In particular, you must write the solution up on your own.

Plagiarism, collusion, or other violations of the Academic Honor Principle, after consultation, will be referred to the The Committee on Standards.

124 Mar(M)Introduction
226 Mar(W)Chapter 2: Beginnings 2.1-2.10 (pick 3)
328 Mar(F)Chapter 3: Involutions
431 Mar(M)Chapter 33.1-3.13 (pick 3)
52 Apr(W)Chapter 4: Quadratic forms
64 Apr(F)Chapter 6: Simple algebras
77 Apr(M)Chapter 66.1-6.14 (pick 2)
89 Apr(W)Chapter 44.1-4.15 (pick 2)
*10 Apr(R)Chapters 2-4, algorithmic aspects
911 Apr(F)Chapter 8: Orders
1014 Apr(M)Chapter 9: Hurwitz order
1116 Apr(W)Chapter 99.1-9.6 (pick 2)
1218 Apr(F)Chapter 10: Quaternion algebras over local fields
1321 Apr(M)Chapter 1010.1-10.15 (pick 3)
1423 Apr(W)Chapter 11: Lattices and localization
1525 Apr(F)Chapter 1111.1-11.4 (pick 1)
-28 Apr(M)NO CLASS (JV at Yale)
1630 Apr(W)Chapter 13: Quaternion algebras over global fields
171 Apr(R)Chapter 13
182 May(F)Chapter 1313.1-13.8 (pick 3)
195 May(M)Chapter 12: Discriminants
207 May(W)Chapter 12: Discriminants12.1-12.7 (pick 1)
219 May(F)Chapter 14: Quaternion ideals over Dedekind domains
2212 May(M)Chapter 14
2314 May(W)Chapter 1414.1-14.15 (pick 2)
2416 May(F)Chapter 14
2519 May(M)Chapter 14
2621 May(W)Chapter 17: Zeta functions and the mass formula
2723 May(F)Chapter 17
2828 May(W)Vista