Return to Colloquia & Seminar listing
Homotopy colimits of diagrams of spaces with a view towards toric varieties
Student-Run Combinatorics & Algebra| Speaker: | Matthew Stamps, UC Davis |
| Location: | 2112 MSB |
| Start time: | Thu, Nov 3 2011, 3:10PM |
Description
Diagrams of spaces provide a convenient language for studying a collection
of topological spaces that share some common algebraic or combinatorial
structure. Homotopy colimits provide a means for accessing those spaces
that support a natural homotopy theory. I will give a brief introduction
to homotopy colimits of diagrams of spaces, including some motivating
examples from different areas of math, and then focus on some applications
to toric varieties. Specifically, I will show how to construct a
representation of the topological space underlying a given toric variety.
If time permits, I will also show how the resolution of singularities
and/or the cohomology of a toric variety fit into this framework.