BCGS Intensive Week (July 28 - August 1, 2014):

Tools of Topology for Quantum Matter

This was a satellite event (a kind of short, intense and interactive summer school) hosted by the University of Cologne, Germany, and staged under the auspices of the Bonn-Cologne Graduate School of Physics and Astronomy (BCGS). It was offered as a service to the community of PhD students and young researchers who are curious about the field of topological quantum matter and seek training in the mathematical methods of the subject.

The Intensive Week started on Monday morning, ended on Friday night, and consisted of five training units, one per day. Each training unit started with an introduction by the lecturer in charge and included tutored sessions of problem solving by the student participants.

While the Intensive Week targeted primarily the graduate students of the Bonn-Cologne Graduate School, it was also open to PhD students and postdocs from elsewhere and abroad.

Topics (Lecturers):

Homotopy Theory of Band Structure (R. Kennedy), Tools from Quantum Information Theory (T. Quella), Anyon Models (A. Roy), Morse Theory & Bott Periodicity (M. Zirnbauer), Introduction to K-Theory (A. Kahle)

Lecture Notes / Material:

Day 1 (PDF-L) (PDF-E) (PDF-S) (Mathematica.nb)

Day 2 (PDF-L1) (PDF-L2) (PDF-E)

Day 3

Day 4 (PDF)

Day 5 (PDF-1) (PDF-2) (PDF-3)