Perspectives in Mathematical Sciences

A. Lubotzky, Discrete groups, expanding graphs and invariant measures, Progr. Math., 125, Birkhäuser Verlag, Basel, 1994.

Time and place: Tuesday 2:45-4:15 in Science Building 1, Room 509.

Lecture notes:

• Lecture 1: Ramanujan graphs
• Lecture 2: Expander graphs
• Lecture 3: Bruhat-Tits buldings
• Lecture 4: The tree of the p-adic projective general linear group
• Lecture 5: Rational quaternion algebras

• Problem set 1.
• Problem set 2.
• Problem set 3.