Reading Seminar on Perfectoid Spaces

Summer 2015

Supervisor: Kai-Wen Lan

Participants: Andrew Senger, Marshall Smith, and (only in August) Chen Wan

Progress

(In each day listed, there were about four to six hours of lectures given in turn by participants.)

• Jul 10: Overview
• Jul 14: Wedhorn's short introduction: sections 1–4
• Jul 15: Wedhorn's short introduction: sections 5–6; Wedhorn's notes: sections 1 and part of 2
• Jul 20: Wedhorn's notes: parts of sections 2 and 3
• Jul 22: Wedhorn's notes: parts of sections 4 and 5
• Jul 24: Scholze's paper: sections 2 and 3
• Jul 27: Wedhorn's notes: parts of sections 5 and 6
• Jul 29: Wedhorn's notes: parts of sections 6 and 7
• Jul 31: Wedhorn's notes: parts of sections 7 and 8
• Aug 3: Scholze's paper: section 4 and part of 5
• Aug 4: Wedhorn's notes: part of section 8
• Aug 6: Stacks Project's first 12 sections on homological algebra; Hartshorne's book chapter on derived categories
• Aug 10: Scholze's paper: parts of sections 5 and 6
• Aug 12: Scholze's paper: part of section 6; Wedhorn's notes: part of section 8: with Huber's book/paper on rigid geometry
• Aug 14: Wedhorn's notes: part of section 8: with Huber's book/paper on rigid geometry; Scholze's paper: part of section 7
• Aug 17: Scholze's paper: part of section 7: with Huber's book on etale cohomology; almost math: a flat & a fp <=> a proj & a fp, etc
• Aug 19: Huber's book on etale cohomology: limit of topos; almost math: cotangent complex, etc
• Aug 21: Almost math