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—— Kazimir Malevich, Black Square, 1915

Condensed Mathematics Seminar


Fall 2021

Sep.3 Definition of condensed sets (Tong) Notes
Sep.10 Relation to topological spaces (Mark) Notes
Sep.17 Condensed abelian groups (Gabriel) Notes
Sep.24 Cohomology comparison theorem (Mark) Notes [We learned this new proof of the comparison theorem from Peter Haine.]
Oct.1 Locally compact abelian groups (Tong)
Oct.8 Locally compact abelian groups (cont.) (Tong) Notes
Solid abelian groups (Mark)
Oct.15 Solid abelian groups (cont.) (Mark) Notes
Oct.29 Solid abelian groups (cont.) (Mark) Notes
Nov.5 Liquid R vector spaces (Gabriel) Notes
Nov.12 Liquid R vector spaces (cont.) (Gabriel)
Dec.3 Liquid R vector spaces (cont.) (Gabriel) Notes


Spring 2022

Feb.11 Analytic rings (Mark)
Feb.18 Solid A-modules and exceptional pushforward (Peter)
Feb.25 Solid A-modules and exceptional pushforward (cont.) (Peter) Notes
Mar.4 Relativisation, adic spaces, towards globalisation (Gabriel)
Mar.11 Relativisation, adic spaces, towards globalisation (cont.) (Gabriel) Notes
Mar.24 Globalisation (Mark)
Apr.1 Globalisation (cont.) (Mark)
Apr.8 Coherent duality (Tong)
Apr.15 Coherent duality (cont.) (Tong) Notes







Resources:
1. Lecture notes by Scholze: [Condensed], [Analytic]
2. Masterclass by Clausen and Scholze: Notes, Videos
3. Xena project: Dec. 2020, Jun. 2021