|Topics on quadratic forms|
|Time：||Mon/Wed 15:10-17:00, 2014-07-09 ~ 2014-07-21|
|Instructor：||Yong Hu [Universite de Rennes 1, France]|
|Place：||Conference Room 1, Floor 1, Jin Chun Yuan West Building|
For the first part of the course, we only require a solid background on abstract algebra. For the second part, students are assumed to have basic knowledge of commutative algebra and algebraic number theory, in particular, modest familarity with notions like tensor products, local rings, discrete valuation rings, number fields and local fields. Knowledge ofalgebraic geometry will be helpful but not required at least before the last 2 or 3 lectures (part 3). In the third part, we will have to use schemes, but a good understanding of Sections II.1-6 of Hartshorne's Algebraic Geometry will be sufficient.
1. T.Y. Lam, Introduction to quadratic forms over fields
2. P. Gille and T. Szamuely, Central simple algebras and Galois cohomology
3. J.P. Serre, Local fields