Condensed and solid maths in the study of cohomological finiteness conditions
Condensed and solid maths in the study of cohomological finiteness conditions
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Peter Kropholler, University of Southampton
Online Talk
Zoom link: https://princeton.zoom.us/j/92116764865
Passcode: 114700
We’ll look at how the Clausen–Scholze theory of condensed and solid abelian groups can be brought to bear on the study of cohomological finiteness conditions for topological groups. This is very much ‘work in progress’ building on discussions with Lukas Brantner, Rudradip Biswas, and Robert K. One of the main benefits of this approach is that one can work with abelian categories that have enough projectives and so there are algebraic Farrell–Tate cohomology theories available. We’ll study how these can be applied and compare with the practical results of Corob Cook and Castellano that applies to Castellano–Weigel cohomology.