University of Cambridge > Talks.cam > Junior Category Theory Seminar > The fundamental group from a Tannakian viewpoint

The fundamental group from a Tannakian viewpoint

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  • UserGeorgios Charalambous
  • ClockThursday 26 November 2015, 14:00-15:00
  • HouseCMS, MR13.

If you have a question about this talk, please contact Sean Moss.

One usually thinks of the topological fundamental group of a space as loops at some basepoint modulo basepoint homotopy. However, there is another way to view it, namely as an automorphism group of a functor. This perspective has been used in defining similar objects in other branches of mathematics, e.g the etale fundamental group of algebraic geometry. In this talk I will discuss the theory of Tannakian categories, in which this alternative point of view on the fundamental group finds a natural home.

This talk is part of the Junior Category Theory Seminar series.

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