D.-C. Cisinski and C. Scheimbauer
Thursday 10-12, video-conference
There are currently two projects dealing with the problem of considering algebraic objects together with suitable topologies, in order to extend homological/homotopical methods to such contexts: one by Dustin Clausen and Peter Scholze, and another one by Clark Barwick and Peter Haine. Both projects essentially speak of the same thing but have different aims.
In this seminar, we will follow Peter Scholze's Lecture notes on condensed mathematics with a few complements, such as the paper of Hoffmann and Spitzweck on Homological algebra with locally compact abelian groups.
|07.05||Clark Barwick||Condensed & Pyknotic Introduction (notes)|
|14.05||Claudia Scheimbauer||Condensed Abelian Groups (notes)|
|28.05||Felix Schremmer||Cohomology (slides)|
|04.06||Tashi Walde||Interlude: Homological Algebra with locally compact abelian groups (notes)|
|18.06||Maria Yakerson||Locally compact abelian groups (notes)|
|25.06||Marc Hoyois||Solid abelian groups, part 1 (notes)|
|02.07||Denis Nardin||Solid abelian groups, part 2 (notes)|
|09.07||Christian Dahlhausen||Analytic rings (notes)|
|16.07||Toni Annala||Solid A-modules (notes)|
|23.07||Lukas Brantner||Globalization, part 1|
|30.07||Giorgi Vardosanidze||Globalization, part 2 (notes)|
|30.07||Christian Dahlhausen||Coherent duality (notes)|