Moodle accompanying the research seminar Gruppen- und Operatoralgebren-Treffen (GOAT) reading group on infinity category and higher homotopy theory.
Note: the following is not all set in stone, some changes may still be made.
We aim to introduce infinity categories via quasicategories (simplicial sets) and describe higher analogues of standard category theory results such as the Yoneda Lemma, limits and colimits, and adjunctions. We will (time permitting) move on to some applications, including (maybe) describing algebraic K-theory and/or KK-theory in this framework.
Required/recommended background and prerequisites:
- (required) standard category theory, e.g. chapters 1-4 of Riehl "Category theory in context"
- (recommended) knowledge of Kan extensions (e.g. chapter 6 of Riehl)
- (required) algebra (groups, rings, modules, algebras, etc)
- (required?/recommended) C*-algebras
Note: the following is not all set in stone, some changes may still be made.
We aim to introduce infinity categories via quasicategories (simplicial sets) and describe higher analogues of standard category theory results such as the Yoneda Lemma, limits and colimits, and adjunctions. We will (time permitting) move on to some applications, including (maybe) describing algebraic K-theory and/or KK-theory in this framework.
Required/recommended background and prerequisites:
- (required) standard category theory, e.g. chapters 1-4 of Riehl "Category theory in context"
- (recommended) knowledge of Kan extensions (e.g. chapter 6 of Riehl)
- (required) algebra (groups, rings, modules, algebras, etc)
- (required?/recommended) C*-algebras
- Kursleiter*in: Prof. Dr. Sven Raum
- Kursleiter*in: Jonathan Taylor
ePortfolio: Nee