Coxeter and Dynkin diagrams classify a wide variety of structures, most notably finite reflection groups, lattices having such groups as symmetries, compact simple Lie groups and complex simple Lie algebras. The simply laced or ‘ADE’ Dynkin diagrams also classify finite subgroups of SU(2) and quivers with finitely many indecomposable representations.
You can read my lecture notes:
Just as a reminder: my talks are on Thursdays at 3:00 pm UK time in Room 6206 of the James Clerk Maxwell Building at the University of Edinburgh. The first was on September 22nd, and the last on December 1st.
To attend on Zoom, go here:
Meeting ID: 822 7032 5098
Here the X’s stand for the name of a famous lemma in category theory.
You can see videos of my talks here.