### Introduction to Sheaf Cohomology

- Series
- Other Talks
- Time
- Wednesday, September 30, 2009 - 13:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 255
- Speaker
- Matt Baker – School of Mathematics, Georgia Tech

After a few remarks to tie up some loose ends from last week's talk on locally
ringed spaces, I will discuss exact sequences of sheaves and give some natural
examples coming from real, complex, and algebraic geometry. In the context of these
examples, we'll see that a surjective map of sheaves (meaning a morphism of sheaves
which is surjective on the level of stalks) need not be surjective on global
sections. This observation will be used to motivate the need for "sheaf cohomology"
(which will be discussed in detail in subsequent talks).