## Derived functors and Cech cohomology

Series
Other Talks
Time
Wednesday, November 11, 2009 - 1:00pm for 1 hour (actually 50 minutes)
Location
Skiles 255
Speaker
Farbod Shokrieh – Ga Tech
Organizer
John Etnyre
We will show that the construction of derived functors satisfy the required universal property.I will then show that, for any ringed space, the abelian category of all sheaves of Modules has enough injectives. We achieve this by first characterizing injective abelian groups (Baer's theorem).The relation with Cech cohomology will also be studied. In particular, I will show that the first Cech and Grothendieck sheaf cohomology groups are isomorphic for any topological space (without using spectral sequences).