This reading group have finished.
The goal of this reading group is to introduce the basic notions of infinity-categories in the model of quasicategories and make the participants comfortable with how the foundations are built, and how to carry out proofs in this language. This will be done by going through 4 important theorems: Joyal's lifting theorem, Straightning-Unstraightning, the Yoneda lemma and the Adjoint Functor theorem. The main reference will be Markus Lands book "Introduction to Infinity-categories".
Below is an overview of the talks, and here is a more detailed description.
Talk 1 (05.10 - MS.05) Introduction: Paul Pantea - Notes
Talk 2 (12.10 - C1.06 ) Small object argument and internal hom: Daniel Marlowe - Notes
Talk 3 (19.10 - C1.06) Joyal's lifting theorem: David Tintinago Pinzon
Talk 4 (26.10) Localization and coCartesian fibrations: Tommy Yang - Notes
Talk 5 (02.11) Straightening-Unstraightening: Thomas Read - Notes
Talk 6 (09.11) Colimits and Yoneda: Dhruva Divate
Talk 7 (16.11) Adjoint functors: Sunny Sood
Talk 8 (23.11) Adjoint functor theorem: Hannah MacDermott - Notes
Talk 9 (30.11) Stable infinity-categories: Julie Rasmusen - Notes
Talk 10 (07.12) Infinity-operads: Julie Rasmusen - Notes