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This is a video about Derived Group Completion

Derived Group Completion

May 19, 2016
MBI
Presenters: Sanjeevi Krishnan
Length: 56 minutes 26 seconds

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Abstract

Every connected, finite CW complex is homotopy equivalent to the classifying space

of a monoid [McDuff, 1979], a set with an associative and unital multiplication. Thus group

completions of monoids correspond to fundamental groups of based spaces. We discuss concrete

algorithms for computing (co)homology and higher homotopy as algebraic constructions on

monoids.