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Derived categories for the working mathematician

Student-Run Geometry/Topology Seminar

Speaker: Federico Castillo, UC Davis
Location: 2112 MSB
Start time: Tue, Apr 21 2015, 1:10PM

It is becoming increasingly difficult for geometers and even physicists to avoid papers containing phrases like `triangulated category', not to mention derived functors. Following arXiv:math/0001045, I will give some motivation for such things from algebraic geometry, and show how the concepts are already familiar from topology. This gives a natural and simple way to look at cohomology and other scary concepts in homological algebra like Ext, Tor, hypercohomology and spectral sequences.