Notes of lectures given to Tokyo's university by video conference system in January 2016

- Methods of functor homology;

- Stable homology with twisted coefficients: general framework and first result;

- Stable homology of general linear groups with twisted coefficients.

These lectures alternated with lectures given by Christine Vespa in Tokyo whose notes are available here.

The plan of the whole lectures serie is available here.

Warnings and remarks: (1) These notes do not exactly coincide with the corresponding talks. Some typos were corrected but there are probably still some others.

(2) The references given in these notes are highly incomplete, a lot of other articles or books inspired these courses.

(3) These lectures (especially the second and the third) are also inspired of other lectures that I gave (in French), whose notes are available here.

Last modification: 2016-01-21.