Content: Recent advances in stable homotopy theory and algebraic geometry use the language of higher category theory. The lecture will cover advanced topics in the theory of infinity-categories and stable infinity-categories in order to prepare students to do research in stable homotopy theory and algebraic geometry using this modern language.

On the Homepage of 19244701 Higher algebra II  you will find detailed Information.

References:

• Jacob Lurie: Higher Topos Theory. Annals of Mathematics Studies 170, Princeton University Press 2009
• Jacob Lurie: Higher Algebra; available from the authors homepage

Prerequisites: We assume familiarity with basic concepts from topology and homotopy theory. Previous experience with infinity-categories, such as the material from the course Higher Algebra is preferred.