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Claudia Rüdiger

Catrin Mair (TU Darmstadt): The Role of Condensed Mathematics in Homotopy Theory

Monday, 19.05.2025 14:15 im Raum SR 1C

Mathematik und Informatik

Abstract: The ?-category Cond(Ani) of condensed anima combines the homotopy-theoretic direction of anima 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. My talk will focus on a joint refinement of the etale homotopy type and the pro-etale fundamental group of a scheme, realised as an object in Cond(Ani). This is closely related to work of Barwick, Glasman and Haine on exodromy. I will give an overview of results from my dissertation and an ongoing project jointly with Haine, Holzschuh, Lara and Wolf.



Angelegt am 07.05.2025 von Claudia Rüdiger
Geändert am 07.05.2025 von Claudia Rüdiger
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