Mathematics 797DC - ST-Derived Categories

The course will consist of two parts of roughly the same length. The first part will cover basics of Abelian, triangulated and derived categories using examples from algebra. The second part will be more technical as we will focus on computations and applications of derived categories of coherent sheaves in algebraic geometry. The prerequisite for this part is standard algebraic geometry, either using the language of schemes (Chapter II of Hartschorne will suffice) or complex algebraic geometry (e.g. the first volume of Voisin's "Hodge theory and complex algebraic geometry"). The course will end with students' group presentations prepared with the help of the instructor.

Open to Graduate students only. MATH 611 & 612