Title: Schemes and Sheaf Cohomology
Speaker: Patrick Luo
Abstract: This talk will introduce schemes and sheaf cohomology. Schemes are the start of modern algebraic geometry, allowing us to consider more spaces than just varieties, and over arbitrary fields and rings, and sheaf cohomology is a powerful tool for understanding the behaviour of sheaves on these schemes, and providing information about subvarieties through ideal sheaves. If time permits, I’ll try to provide a link between sheaves and cohomology on a variety thought of as a scheme and as a complex manifold.
Some snacks will be provided before and after the talk.