Introduction to sheaves (150287-WiSe 2024/25)

Sheaf theory was introduced (explicitly) by Jean Leray and Henri Cartan and (implicitly) by Kiyoshi Oka to treat problems arising in higher dimensional complex analysis. Since then, sheaves have become ubiquitous in complex and algebraic geometry and have found applications in diverse fields from geometric and algebraic topology to PDEs and symplectic geometry.

The purpose of the course is to give an introduction to sheaf theory and an overview of some of its applications.

Literatur:

[1] G. E. Bredon, Sheaf theory, Graduate Texts in Mathematics 170, Springer-Verlag, New York, 1997.

[2] M. Kashiwara, P. Schapira, Sheaves on manifolds, Springer, Berlin, 1990.

Zielgruppe:

Master and PhD students

Voraussetzungen:

Basic topology and (linear) algebra.