Graduate Student Algebra Seminar: Derived Categories

Thursday, September 8, 2016 - 10:00am
111 Math Science Bldg
Brett Collins (Univ of Missouri)

Derived categories are an essential tool in modern algebra as they provide the ideal setting for such things as derived functors as well as studying the relations between similar algebraic objects. Unfortunately, they have a reputation of being rather abstruse. In this talk, I'll try to present the "big picture" of the theory by motivating the definitions and by explaining how they simplify many well-known constructions from homological algebra (which I'll define as necessary). Time permitting, I'll show an application by examining the derived category of the path algebra of a quiver.

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