Pure Maths Colloquium: A discrete introduction
2 November 2015 16:00 in CM221
Derived and triangulated categories are ubiquitous in many branches of mathematics because they are where cohomology "lives". In algebra and geometry they are a means of comparing objects which have similar, but not exactly the same, structure. However, while they are a powerful theoretical tool, they can be quite daunting. In this talk, I wish to discuss a class of examples which makes many aspects of their theory astoundingly concrete, the so called discrete derived categories. This talk will give a brief overview of what derived categories are and why one may be interested in them, before giving a concrete illustration of the structure of discrete derived categories. In particular, I will try not to assume any background in homological algebra. This talk will report on some joint work with Nathan Broomhead (Bielefeld) and David Ploog (Hannover).
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