Introduction
Lecture 1: Introduction to differentiable manifolds and symplectic geometry. Tilmann Wurzbacher.
Lecture 2: Spectral Properties of the Dirac operator and geometrical structures. Oussama Hijazi.
Lecture 3: Quantum theory of fermion systems: topics between physics and mathematics.
Lecture 4: Heat equation and spectral geometry. Introduction for beginners. Krzysztof Wojciechowski.
Lecture 5: Renormalized traces as a geometric tool. Sylvie Paycha.
Lecture 6: Concepts in gauge theory leading to electric-magnetic duality. Tsou Sheung Tsun.
Lecture 7: An introduction to Seiber-Witten theory. Hernan Ocampo.
Remarks on duality, analytic torsion and gaussian integration in antisymmetric field theories. Alexander Cardona.
Multiplicative anomaly for the -regularized determinant. Catherine Ducourtioux.
On cohomogeneity one Riemannian manifolds. S.M.B. Kashani
A differentiable calculus on the space of loops and connections. Martin Reiris.
Quantum Hall conductivity and topological invariants. Andres Reyes.
Determinant of the Dirac operator over the interval [0,ß]. Fabian Torres
