Web pages of Luca Spada

PhD Course, Category Theory (May-June 2018)

Contents of the page

• Announcements
• Topics of the course
• Course material
• Practical information

Announcements

Topics of the course

• Categories, universal properties, functors.
• Natural transformations, adjoint functors and categorical equivalences.
• Concrete dualities.
• Yoneda Lemma.
• Sheaves and topoi.

Course material

• Harold Simmons. An Introduction to Category Theory. Cambridge University Press, 2011.
• Robert Goldblatt Topoi: The Categorial Analysis of Logic,  Dover Publications  2006.
• Saunders Mac Lane. Categories for the Working Mathematician (Second edition). Springer. 1988.

Practicalities

• Lecturer: Luca Spada
• Duration of the course: 20 hours.

Preliminary programme

• Friday 18 May 2018, from 11:00 to 13:00;
• Monday 21 May 2018, from 9:00 to 11:00;
• Wednesday 23 May 2018, from 9:00 to 11:00;
• Friday 25 May 2018, from 9:00 to 11:00;
• Monday 4 June 2018, from 15:00 to 17:00;
• Wednesday, June 6, 2018, from 9:00 to 11:00;
• Friday 8 June 2018, from 9:00 to 11:00;
• Thursday 21 June 2018, from 9:00 to 11:00;
• Monday 9 July 2018, from 15:00 to 17:00;
• Wednesday 11 July 2018, from 9:00 to 11:00;