PhD defense: Anna Cepek (MSU) "Configuration spaces of S^1 and R^n"
- Monday, April 8, 2019 from 4:00pm to 5:00pm
- Wilson Hall, 1-144 - view map
We approach manifold topology by examining configurations of finite subsets of manifolds. The homotopy-types of such configurations organize as an ∞-category, the construction of which makes use of stratified spaces and exit-path ∞-categories thereof. The goal of this talk is to supply the constructions of these ∞-categories and to identify these ∞-categories in the case of S1 and Rn in terms of the combinatorially defined parasimplex category and Joyal’s category Θn, respectively.
- Department of Mathematical Sciences