this is my current research notebook in blog form. entries are often at a stream-of-consciousness level but sometimes at a higher level of coherence.
Tuesday, July 13, 2010
grothendieck topology from homotopy colimits in a (2,1)-category
i don't understand much about what people are doing with various sorts of grothendieck topologies on various categories of "schemes", but i have a vague idea connected to this that i want to explore here. i want to get a grothendieck topology on the category of affine schemes (or something like that... ?perhaps just the "finitary" ones?) by embedding this category into the (2,1)-category of symmetric monoidal finitely cocomplete algebroids, and then using the homotopy colimits in this (2,1)-category to determine (in a hopefully near-obvious way) the grothendieck topology...
Subscribe to:
Post Comments (Atom)
No comments:
Post a Comment