BEGIN:VCALENDAR VERSION:2.0 PRODID:-//132.216.98.100//NONSGML kigkonsult.se iCalcreator 2.20.4// BEGIN:VEVENT UID:20250704T212616EDT-3044meXSk4@132.216.98.100 DTSTAMP:20250705T012616Z DESCRIPTION:Title: A small object argument for unique factorization systems \n\nAbstract: I will present a variation of Quillen small object argument\ , inspired by Kelly\, which is better suited to construct unique factorisa tion systems. The construction uses the pushout product and pullback hom s tructure on the category of arrows. I will explain how this construction r ecovers the + construction involved in sheafification and I will apply it to construct modalities\, localizations and left exact localizations expli citely from generators. All constructions are valid in 1-categories and as well as infinity-categories. This is a join work with C. L. Subramaniam. \n DTSTART:20191105T193000Z DTEND:20191105T203000Z LOCATION:Room 920\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue Sherbrooke Ouest SUMMARY:Mathieu Anel\, CMU URL:/mathstat/channels/event/mathieu-anel-cmu-302170 END:VEVENT END:VCALENDAR