Reading group on ∞-categories

This is a reading group on ∞-categories in the model of quasi-categories, focusing on basic constructions. Our main reference is “Introduction to Infinity-categories” by Markus Land, other good references are Kerodon and “Higher Topos Theory” by Jacob Lurie. We will take turns speaking - please volunteer!

We meet every Thursday at 2PM in JCMB 5323. Hybrid participation is also possible - please get in touch at Malthe (dot) Sporring (at) ed.ac.uk to be added to the mailing list.

The reading group is organized joint with Willow Bevington and Adrián Doña Mateo.

Tentative schedule

Date and locationSpeakerTopic and referencesNotes & Recording
2/3/23 - JCMB 5323Adrián Doña MateoSimplicial sets.
Land: Section 1.1
Kerodon: Section 1.1-1.2
 
9/3/23 - JCMB 5323Adrián Doña MateoSimplicial sets IIRecording
16/3/23 - OnlineMalthe Sporring∞-categories
Land: Section 1.2
Kerodon: Section 1.3-1.4
Notes
Recording
23/3/23 - JCMB 3211Malthe SporringEnriched categories
Land: Section 1.2
Notes
30/3/23 - JCMB 3211Adrián Doña MateoSimplicially enriched categoriesRecording
Notes
6/4/23 - JCMB 5326Iordanis RomaidisAnodyne maps and fibrations
Land: Section 1.3
Recording
Notes
13/4/23 - JCMB 5323Malthe SporringJoins and slices
Land: Section 1.4
Recording
Notes
20/4/23 - JCMB 5323Willow BevingtonJoyal’s lifting theorem, and functors
Land: Section 2.1-2.3
Recording
27/4/23 - JCMB 5323Adrián Doña MateoLocalisations
Land: Section 2.4
Recording
4/5/23 - JCMB 5323Iordanis Romaidis(Co)cartesian fibrations
Land: Section 3.1
Recording