Topics in Higher Category Theory

WS19/20, Tuesday 16-18, M101

[Seminar Schedule]

Talk 1 (15.10.2019). Introduction and overview

Talk 2 (22.10.2019). ∞-categories of presheaves [Notes]

Talk 3 (29.10.2019). Filtered colimits and compact objects [Notes]

Talk 4 (07.11.2019). Ind-objects [Notes]

Talk 5 (12.11.2019). Accessible ∞-categories [Notes]

Talk 6 (19.11.2019). Presentable ∞-categories I: Structural properties [Notes-I]

Talk 7 (26.11.2019). Presentable ∞-categories II: Localizations [Notes-II]

Talk 8 (03.12.2019). ∞-topoi I: Structural properties [Notes-I]

Talk 9 (17.12.2019). ∞-topoi II: Grothendieck topologies and sheaves [Notes-II]

Talk 10 (09.01.2020). ∞-topoi III: ∞-connectedness and hyperdescent

[Notes-III]

Talk 11 (14.01.2020). The proper base change theorem

Talk 12 (21.01.2020). Stable ∞-categories

[Notes]

Talk 13 (28.01.2020). Spectrum objects and stabilization [Notes]

Talk 14 (04.02.2020). Differentiation of Functors: Introduction to Goodwillie Calculus

[Notes]