Algebraic Geometry Learning Seminar

Nickolas Rollick, Pure Mathematics, University of Waterloo

"Message Re-Sheaved"

This will be the first of three talks reviewing the highlights of what we've covered over the past year.  After saying a few words about schemes, the central object of study in modern algebraic geometry, we embark on an ultra-condensed exposition of sheaves on a topological space.  In particular, we will go through the definition and a motivating example, along with the notions of stalk of a sheaf, morphisms between sheaves, pushforward of a sheaf, and the concept of "sheaf on a base". The take-away message will be that most sheaves we care about should be viewed as encoding the "functions" defined on open subsets of a topological space.