MFG Seminar Monday 19th FebruaryPublished: Friday, 16 February 2018
The next MFG seminar will take place on Monday 19th February from 2.00 in 2.33 in the Kilburn Building.The speaker will be Joe Razavi.I give his title and abstract below.
The next MFG seminar will take place on Monday 19th February from 2.00 in 2.33 in the Kilburn Building. The speaker will be Joe Razavi. I give his title and abstract below.
Title: Comma Objects and Pointwise Kan Extensions in 2-Categories
The common definition of 'Kan extension' nowadays is a rather abstract one, describing one functor as the 'best possible extension' of another in some sense. The original Kan extensions, as invented by Kan, could actually be computed via colimits. This type of Kan extension is the one most mathematicians are interested in, so it would be nice to have a more conceptual definition. A definition which works in any nice enough 2-category was given by Street in terms of comma objects; in this talk we will look at how this definition works.