This reading course/seminar adresses all PhD students who want to broaden their background knowledge in Algebraic Geometry. We loosely follow Ravi Vakil's lecture notes, which can be found on his web page:

Ravi Vakil's lecture notes

We will meet two hours a week, where one is devoted to a lecture and one is designated to a moderated discussion. The exact times will be up soon.

Spring Term

Week	Date	Chapter	Speaker
16	9.-13.1	8/9: Useful classes of morphisms/ Closed immersions	Heng Xie
17	16.-20.1	10/11: Fibred products/ separated and proper morphism	Rory Potter
18	23.-27.1	12/13: Dimension/smoothness	Michael Mourao
19	30.1-3.2	14: (Quasi-)coherent sheaves	Tom Ducat
20	6.-10.2	15: Line bundles	Kostas Karagiannis
21	13.-17.2	16/17: Quasicoherent sheaves on projective A-schemes/Pushforwards & Pullbacks of quasicoherent sheaves	Andrew Chan
22	20.-24.2	18: Relative versions of Spec and Proj	David Holmes
23	27.2-2.3	19: Blowing up a scheme along a closed subscheme	Michael Selig
24	5.-9.3	20: Cech cohomology	Simon Markett

We only assigned nine talks leaving us with one spare week. This week can used if a speaker needs extra time.

All questions can be sent to Kostas Konstantinos dot v dot karagiannis at gmail dot com or Simon S dot A dot Markett at warwick dot ac dot uk.

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Autumn Term

Week	Date (lecture)	Chapter	Speaker
2	13.10	2:Some category theory	Question session
3	20.10	3:Sheaves I	Kostas Karagiannis
4	27.10	3:Sheaves II	Kostas Karagiannis
5	2.11	4:Toward affine schemes I	Andrew Chan
6	9.11	4:Toward affine schemes II	Michael Selig
7	16.11	5:Structure sheaf, general schemes	Simon Markett
8	23.11	6:Properties of schemes I	Tom Ducat
9	30.11	6:Properties of schemes II	Stephanos Papanikolopoulos
10	7.12	7:Morphisms on schemes	Heng Xie