PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

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Title:Decomposing Diagram Cohomology with Ideals
Seminar:Topology/Geometry Seminar
Speaker:Mark Johnson (Penn State)
Abstract:
In joint work with David Blanc and Jim Turner, the speaker has considered different ways to decompose diagram (Andre-Quillen) cohomology. The current approach involves constructing a notion of ideal for a small category, which leads to a certain topological space roughly analogous to Spec of a (commutative) ring. Over this space, diagram cohomology of restrictions yields a sheaf, which is really a general decomposition result. In addition, there is a promising ``structure sheaf" over this space, as in the construction of affine schemes, whose values consist of localizations of the category at an ideal.

Room Reservation Information

Room Number:MB106
Date:09 / 27 / 2007
Time:05:00pm - 06:00pm