The $\infty$-category Cond(Ani) of condensed anima combines homotopy theory with the topological space direction of condensed sets. For example, we can recover the "Shape" of a sufficiently nice topological space from the corresponding condensed anima. In my talk, I will focus on explaining how to define a refinement of the étale homotopy type of a scheme as an object in Cond(Ani) following constructions from Shape Theory. This condensed version of a homotopy type, which I will refer to as condensed shape, is closely related to the pro-étale topology and the work of Barwick, Glasman and Haine in the Exodromy paper.
Links:
[1] https://www.mpim-bonn.mpg.de/taxonomy/term/39
[2] https://www.mpim-bonn.mpg.de/node/3444
[3] https://www.mpim-bonn.mpg.de/node/11707