PhD Course on Category Theory (Jan-Feb 2017)

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Contents

  • Categories and functors. Universal objects.
  • Natural transformations.  Adjoint functors and equivalences.
  • Dualities: Stone, Gelfand, Pontryagin.

Course material

Homework

  • Homework set 1
  • Homework 2: prove that the three definitions of adjoint functors are equivalent. Skip the easiest details.

Practicalities

  • Lecturer: Luca Spada
  • Length of the course: 10 hours.

Dates/rooms:

  • Lectures will take place is Sala Riunioni, Department of Mathematics.
  • Lectures will be scheduled as follows:
    • Tuesday 17 of January, from 11:00 to 13:00;
    • Thursday 19 of January, from 11:00 to 13:00;
    • Tuesday 24 of January, from 11:00 to 13:00;
    • Thursday 26 of January, from 11:00 to 13:00;
    • Tuesday 7 of February, from 11:00 to 13:00;

Comments, complaints, questions: please write to Luca Spada

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