|Lectures on Deformations Theory|
|Time：||【Updated】Mon/Wed 10:10-12:00, 2014-06-04 ~ 2014-07-21|
|Instructor：||Yi Hu [The University of Arizona]|
|Place：||Conference Room3, Floor 2, Jin Chun Yuan West Building|
I will give an introductory lectures on deformations theory. I will first introduce the first order deformations, and then higher order ones and obstruction theories. Instead of establishing a very general theory, we will mainly focus on four main important cases: (deformations of) A. subschemes in a fixed ambient nonsingular scheme; B. line bundles over a fixed scheme; C. vector bundles and coherent sheaves over a fixed scheme; D. abstract schemes.
It is desirable that students have had a one year course in algebraic geometry. Some familiarity with the scheme theory is necessary.