Schedule:

We are meeting in BA6180 from September 10 to December 3.

1. I will try to cover the backbone from chapters 2 to 6 of the main book. If possible I will talk about chapter 7, but I am not sure we will be able to talk too much about.

Bibliography:

[1] Buildings. Peter Abramenko, Kenneth S. Brown. Springer, Graduate Texts in Mathematics, Vol. 248

Logbook:

Notes:

• The book [1], for U of T students, can be obtained as a MyCopy book in springer through the UofT libraries.
• Chapter 1 of [1] covers finite reflection groups, which are the objects we are trying to generalize to build coxeter systems. From them we will build buildings. It is very instructive to review this chapter as we progress and see how it is done in the case of finite W.
• Some sections we have not studied at all but that if we had more time we would study are the following ones:
• Section 2.5. In here the notion of root, hyperplanes and “killing” form appear to construct groups from a given Coxeter matrix via the canonical representation.
• Section 4.3 to 4.7. Its basically the core of the theory of buildings from simplicial perspective, and it is a monstruosity we are not seeing it, but because we want to highlight what happens in chapter 6 we just return to them when needed.

Alternative References: