Just so I have these somewhere, these are the notes/slides for the two talks I gave at the annual Australian Mathematical Society talk last week. The first is a revision of this talk.

• Localising by spans and cospans, and functoriality of associated algebras (pdf scan of notes) – see also The elementary construction of formal anafunctors, Cofibrations of internal groupoids and localisations by cospans and Localisation by cospans redux
• A descent-theoretic proof of a theorem of Serre (slides)