Quasi-coherence in Algebraic Geometry

This lecture covers the concept of quasi-coherence in algebraic geometry, discussing the lifting of functions, sections of sheaves, and push forwards of coherent sheaves. The instructor explains the properties of quasi-coherent and coherent sheaves, providing examples and applications in schemes. The lecture delves into the construction of sheaves, their homomorphisms, and the coherence conditions. It also explores the relationship between quasi-coherence and coherence in algebraic geometry, emphasizing the importance of studying their sections. The presentation concludes with a discussion on globally interesting functions and their associated sheaves, highlighting the significance of understanding their properties.